I'll solve this step by step:

1) First, the equation is 3x - 7 = 11

2) To solve for x, we want to isolate x on one side of the equation

3) First, add 7 to both sides of the equation to get the x term alone on the left side: 3x - 7 + 7 = 11 + 7

4) This simplifies to: 3x = 18

5) Now, divide both sides by 3 to solve for x: 3x ÷ 3 = 18 ÷ 3

6) This gives us: x = 6

7) Let's check our solution by plugging 6 back into the original equation: 3(6) - 7 = 11 18 - 7 = 11 11 = 11 ✓

Therefore, the solution is x = 6.

Let me help you solve this equation step by step:

Starting with: 3x – 7 = 11

1) First, we need to isolate x. Let's add 7 to both sides of the equation to get rid of the -7: 3x – 7 + 7 = 11 + 7 3x = 18

2) Now, to solve for x, divide both sides by 3: 3x ÷ 3 = 18 ÷ 3 x = 6

Let's verify our answer: - Plug 6 back into the original equation: 3(6) – 7 = 11 - Simplify: 18 – 7 = 11 ✓

Therefore, x = 6 is the solution.

You can check this yourself by plugging 6 back into the original equation to make sure it works!

Solving for x in 3x – 7 = 11

To solve this linear equation, I need to isolate the variable x by performing the same operations on both sides.

Step-by-step solution:

1. Start with the original equation: 3x – 7 = 11

2. Add 7 to both sides to isolate the term with x: 3x – 7 + 7 = 11 + 7 3x = 18

3. Divide both sides by 3 to solve for x: x = 18 ÷ 3 x = 6

Verification:

Let's check our answer by substituting x = 6 back into the original equation: 3(6) – 7 = 11 18 – 7 = 11 11 = 11 ✓

Therefore, x = 6 is the solution to the equation 3x – 7 = 11.

I'll solve this linear equation step by step:

Given equation: 3x - 7 = 11

Step 1: Add 7 to both sides to isolate the term with x - 3x - 7 + 7 = 11 + 7 - 3x = 18

Step 2: Divide both sides by 3 to solve for x - 3x ÷ 3 = 18 ÷ 3 - x = 6

Verification: Let's check our answer by substituting x = 6 back into the original equation: - 3(6) - 7 = 18 - 7 = 11 ✓

Therefore, x = 6

The key principle here is to perform the same operation on both sides of the equation to maintain equality while isolating the variable x.

I'll solve this step-by-step by isolating x on one side of the equation.

Given: 3x - 7 = 11

Step 1: Add 7 to both sides to eliminate the -7 - 3x - 7 + 7 = 11 + 7 - 3x = 18

Step 2: Divide both sides by 3 to isolate x - 3x ÷ 3 = 18 ÷ 3 - x = 6

Check: Let's verify by substituting x = 6 back into the original equation: - 3(6) - 7 = 18 - 7 = 11 ✓

Therefore, x = 6

The key principle here is performing the same operation on both sides of the equation to maintain equality while working toward isolating the variable.

I'll solve this step-by-step by isolating x on one side of the equation.

Starting equation: 3x - 7 = 11

Step 1: Add 7 to both sides to eliminate the -7 - 3x - 7 + 7 = 11 + 7 - 3x = 18

Step 2: Divide both sides by 3 to isolate x - 3x ÷ 3 = 18 ÷ 3 - x = 6

Check the answer: Let's substitute x = 6 back into the original equation: - 3(6) - 7 = 18 - 7 = 11 ✓

Therefore, x = 6

The key principle here is performing the same operation on both sides of the equation to maintain equality while working to isolate the variable.

Solving 3x - 7 = 11

Here's how to solve this step-by-step:

Step 1: Add 7 to both sides

Goal: Isolate the term with x

3x - 7 + 7 = 11 + 7

3x = 18

Step 2: Divide both sides by 3

Goal: Solve for x

3x ÷ 3 = 18 ÷ 3

x = 6

Verification

Let's check our answer by plugging it back into the original equation:

3(6) - 7 = 18 - 7 = 11 ✓

The answer is x = 6

The key principle here is to perform inverse operations to isolate the variable: - Subtraction becomes addition (we added 7) - Multiplication becomes division (we divided by 3)

Is there anything else about solving equations you'd like me to explain? 😊

To solve the equation ( 3x - 7 = 11 ) for ( x ), follow these steps:

Step 1: Add 7 to both sides

This isolates the term containing ( x ).

[ \begin{align} 3x - 7 + 7 &= 11 + 7 \ 3x &= 18 \end{align} ]

Step 2: Divide both sides by 3

This solves for ( x ).

[ \begin{align} \frac{3x}{3} &= \frac{18}{3} \ x &= 6 \end{align} ]

Final Answer:

[ \boxed{6} ]

Verification:

Substitute ( x = 6 ) back into the original equation to ensure it holds true.

[ 3(6) - 7 = 18 - 7 = 11 \quad \text{✓} ]

The solution is correct! Let me know if you'd like further explanation.

To solve the equation (3x - 7 = 11) for (x), follow these steps systematically:

Step 1: Isolate the variable term

Add 7 to both sides to eliminate the constant term on the left:
[ 3x - 7 + 7 = 11 + 7 ]
[ 3x = 18 ]

Step 2: Solve for (x)

Divide both sides by 3 to isolate (x):
[ \frac{3x}{3} = \frac{18}{3} ]
[ x = 6 ]

Verification

Substitute (x = 6) back into the original equation to confirm:
[ 3(6) - 7 = 18 - 7 = 11 ]
This matches the right side of the equation (11), so the solution is correct.

Final Answer

[ \boxed{x = 6} ]

Hello there! Let's solve that equation step-by-step:

1. Add 7 to both sides: The goal is to isolate 'x' on one side of the equation. To do this, we first get rid of the -7 on the left side. Adding 7 to both sides keeps the equation balanced:

3x - 7 + 7 = 11 + 7

This simplifies to:

3x = 18

2. Divide both sides by 3: Now, we need to get 'x' by itself. Since 'x' is multiplied by 3, we'll divide both sides of the equation by 3:

3x / 3 = 18 / 3

This simplifies to:

x = 6

Therefore, x = 6.

Hey there! Let's solve for x in the equation 3x – 7 = 11. Here’s how we can do it step-by-step:

1. Isolate the term with x:

   • We want to get the term with x (which is 3x) by itself on one side of the equation. To do this, we need to get rid of the -7.

   • We can do that by adding 7 to both sides of the equation. This keeps the equation balanced:

     3x – 7 + 7 = 11 + 7

     3x = 18

2. Solve for x:

   • Now we have 3x = 18. To find x, we need to divide both sides of the equation by 3:

     3x / 3 = 18 / 3

     x = 6

So, the solution is x = 6. If you want to verify the answer, you can substitute 6 back into the original equation to see if it holds true.

Hello! I'd be happy to help you solve for x in the equation 3x – 7 = 11. Here's how we can do it step-by-step:

1. Isolate the term with 'x': Our goal is to get the term with 'x' (which is 3x) by itself on one side of the equation. To do this, we need to get rid of the -7. We can do this by adding 7 to both sides of the equation. This gives us:

   3x – 7 + 7 = 11 + 7

   Which simplifies to:

   3x = 18 2. Solve for 'x': Now we have 3x = 18. To solve for 'x', we need to get 'x' by itself. Since 'x' is being multiplied by 3, we can do the opposite operation, which is to divide both sides of the equation by 3. This gives us:

   3x / 3 = 18 / 3

   Which simplifies to:

   x = 6

So, the solution to the equation 3x – 7 = 11 is x = 6.

Ahoj! Ráda ti pomůžu s řešením této rovnice. Je to klasická lineární rovnice a je skvělé se jí naučit řešit krok za krokem.

Máme rovnici: 3x – 7 = 11

Cílem je dostat x samotné na jedné straně rovnice. Pojďme na to!

Krok 1: Izolujeme člen s x (tedy 3x). Abysme se zbavili - 7 na levé straně, musíme k oběma stranám rovnice přičíst 7. Pamatuj, co uděláš na jedné straně rovnice, musíš udělat i na té druhé, aby zůstala vyrovnaná!

3x – 7 + 7 = 11 + 7 3x = 18

Krok 2: Izolujeme x. Nyní máme 3x = 18. To znamená, že 3 krát x se rovná 18. Abysme zjistili, co je x, musíme obě strany rovnice vydělit 3.

3x / 3 = 18 / 3 x = 6

Krok 3: Zkouška (nepovinné, ale dobré pro ověření!). Pro jistotu si můžeme ověřit, zda je naše řešení správné, dosazením x = 6 zpět do původní rovnice:

3 * (6) – 7 = 11 18 – 7 = 11 11 = 11

Protože se levá strana rovná pravé straně, naše řešení je správné!

Řešení je tedy x = 6.

Dej mi vědět, kdybys měl jakékoliv další otázky!

Hello there! Solving for x in an equation like 3x – 7 = 11 is a fun bit of algebra. We want to get 'x' all by itself on one side of the equation. Here's how we can do it step-by-step:

1. Our goal: Isolate 'x'.
2. The equation: 3x – 7 = 11
3. Move the constant term: The '-7' is on the same side as 'x'. To move it, we do the opposite operation to both sides of the equation. The opposite of subtracting 7 is adding 7. So, add 7 to both sides: 3x – 7 + 7 = 11 + 7 3x = 18
4. Isolate x: Now, 'x' is being multiplied by 3. To get 'x' by itself, we do the opposite operation, which is dividing by 3. We need to do this to both sides of the equation: (3x) / 3 = 18 / 3 x = 6

So, the solution is x = 6!

We can even check our answer by plugging 6 back into the original equation: 3(6) – 7 = 11 18 – 7 = 11 11 = 11 It works out perfectly!

Let me know if you have any more math puzzles! 😊

To solve for ( x ) in the equation:
[ 3x - 7 = 11 ]

Follow these steps:

1. Add 7 to both sides:
   [ 3x - 7 + 7 = 11 + 7 ] [ 3x = 18 ]

2. Divide both sides by 3:
   [ \frac{3x}{3} = \frac{18}{3} ] [ x = 6 ]

Final Answer:
[ x = 6 ]

To solve the equation (3x - 7 = 11), follow these steps:

1. Add 7 to both sides to isolate the term with (x): [ 3x - 7 + 7 = 11 + 7 ] [ 3x = 18 ]

2. Divide both sides by 3 to solve for (x): [ \frac{3x}{3} = \frac{18}{3} ] [ x = 6 ]

Answer: (x = 6).

To solve for ( x ) in the equation ( 3x - 7 = 11 ), follow these steps:

1. Add 7 to both sides of the equation to isolate the term with ( x ): [ 3x - 7 + 7 = 11 + 7 ] Simplifies to: [ 3x = 18 ]

2. Divide both sides by 3 to solve for ( x ): [ \frac{3x}{3} = \frac{18}{3} ] Which simplifies to: [ x = 6 ]

Solution: ( x = 6 )

If you'd like a visual or step-by-step illustration, I can generate an image for you—just make sure to turn on the "image generation" option in the input form!

To solve for ( x ) in the equation ( 3x - 7 = 11 ), you can follow these steps:

1. Add 7 to both sides of the equation to remove the (-7) on the left side:

[ 3x - 7 + 7 = 11 + 7 ]

Simplifying both sides gives:

[ 3x = 18 ]

2. Divide both sides by 3 to solve for ( x ):

[ \frac{3x}{3} = \frac{18}{3} ]

Simplifying the division gives:

[ x = 6 ]

Therefore, the solution is ( x = 6 ).

To solve the equation (3x - 7 = 11), you'll want to isolate (x). Here’s how you can do it step-by-step:

1. Add 7 to both sides: This will get rid of the -7 on the left side. [ 3x - 7 + 7 = 11 + 7 ] Which simplifies to: [ 3x = 18 ]

2. Divide both sides by 3: This will give you the value of (x). [ \frac{3x}{3} = \frac{18}{3} ] Which simplifies to: [ x = 6 ]

So, the solution is (x = 6).

Solve step by step: - Add 7 to both sides: 3x − 7 + 7 = 11 + 7 → 3x = 18 - Divide both sides by 3: x = 18 ÷ 3 = 6

Check: 3(6) − 7 = 18 − 7 = 11 ✓

Answer: x = 6.

Solve 3x − 7 = 11:

1. Add 7 to both sides: 3x = 11 + 7 = 18
2. Divide both sides by 3: x = 18 / 3 = 6

Check: 3(6) − 7 = 18 − 7 = 11, so x = 6.

Solve for x: 3x − 7 = 11

• Add 7 to both sides: 3x = 18
• Divide both sides by 3: x = 6

Check: 3(6) − 7 = 18 − 7 = 11, which is correct.

If you’d like, I can show another method or explain why these steps work.

To solve for ( x ) in the equation ( 3x - 7 = 11 ), we'll follow these steps:

1. Isolate the term with ( x ): Add 7 to both sides of the equation to cancel out the -7 on the left side. [ 3x - 7 + 7 = 11 + 7 ] Simplifying this, we get: [ 3x = 18 ]

2. Solve for ( x ): Divide both sides of the equation by 3 to isolate ( x ). [ \frac{3x}{3} = \frac{18}{3} ] Simplifying this, we find: [ x = 6 ]

So, the solution to the equation ( 3x - 7 = 11 ) is ( x = 6 ).

If you need help with any other equations or have any other questions, feel free to ask!

To solve for ( x ) in the equation ( 3x - 7 = 11 ), follow these steps:

1. Add 7 to both sides of the equation to isolate the term with ( x ): [ 3x - 7 + 7 = 11 + 7 ] Simplifying this, we get: [ 3x = 18 ]

2. Divide both sides by 3 to solve for ( x ): [ \frac{3x}{3} = \frac{18}{3} ] Simplifying this, we find: [ x = 6 ]

So, the solution to the equation ( 3x - 7 = 11 ) is ( x = 6 ).

If you need any further assistance or have any other questions, feel free to ask!

I'm happy to help you solve for ( x ) in the equation ( 3x - 7 = 11 ). Let's go through the steps together in a clear and detailed way.

1. Understand the goal: We need to isolate ( x ) on one side of the equation. This means getting rid of the numbers and operations around it so that ( x ) stands alone.

2. Add 7 to both sides: The equation has a (-7) on the left side. To cancel it out, we add 7 to both sides of the equation to keep it balanced (what you do to one side, you must do to the other). [ 3x - 7 + 7 = 11 + 7 ] Simplifying, the (-7) and (+7) on the left cancel out, and ( 11 + 7 = 18 ), so: [ 3x = 18 ]

3. Divide both sides by 3: Now, ( x ) is still multiplied by 3. To isolate ( x ), we divide both sides by 3. [ \frac{3x}{3} = \frac{18}{3} ] Simplifying, the 3s on the left cancel out, and ( 18 \div 3 = 6 ), so: [ x = 6 ]

4. Check the solution: Let's plug ( x = 6 ) back into the original equation to make sure it works. [ 3(6) - 7 = 18 - 7 = 11 ] Since the left side equals the right side (11 = 11), our solution is correct.

So, the solution is ( x = 6 ). If you have any more equations or need further clarification, feel free to ask! 😊

Sure, I'd be happy to help you solve the equation 3x - 7 = 11! This is a straightforward linear equation, and we'll go through it step by step to find the value of x. I'll explain each part along the way so it's easy to follow.

Step 1: Start with the original equation

We have: [ 3x - 7 = 11 ]

Our goal is to isolate x on one side. To do that, we need to get rid of the -7 on the left side first. We do this by adding 7 to both sides of the equation to keep it balanced (that's a key rule in algebra—whatever you do to one side, you have to do to the other).

Adding 7 to both sides: [ 3x - 7 + 7 = 11 + 7 ] [ 3x = 18 ]

Now we have 3x = 18.

Step 2: Solve for x

Next, we need to get x by itself. Since x is multiplied by 3, we'll divide both sides by 3.

Dividing both sides by 3: [ \frac{3x}{3} = \frac{18}{3} ] [ x = 6 ]

Great! We've found that x equals 6.

Step 3: Verify the solution

To make sure we're correct, let's plug x = 6 back into the original equation and see if it holds true.

Original equation: 3x - 7 = 11

Substitute x = 6: [ 3(6) - 7 = 18 - 7 = 11 ]

It checks out! The equation is true, so our solution is accurate.

If you have any more questions about this equation, or if you'd like me to explain a similar problem or go deeper into algebra concepts, just let me know—I'm here to help! 😊

Sure, I'd be happy to help you solve the equation (3x - 7 = 11) step by step! We'll isolate (x) using basic algebraic operations, keeping things balanced on both sides of the equation. Here's how:

Step 1: Add 7 to both sides

To get rid of the (-7) on the left side, add 7 to both sides: [ 3x - 7 + 7 = 11 + 7 ] This simplifies to: [ 3x = 18 ]

Step 2: Divide both sides by 3

Now, divide both sides by 3 to solve for (x): [ \frac{3x}{3} = \frac{18}{3} ] This gives: [ x = 6 ]

Verification

Let's plug (x = 6) back into the original equation to check: [ 3(6) - 7 = 18 - 7 = 11 ] It matches the right side, so it's correct!

If you have more equations or need help with something else, just let me know! 😊

To solve the equation 3x – 7 = 11:

1. First, add 7 to both sides of the equation to isolate the term with x: 3x – 7 + 7 = 11 + 7 3x = 18

2. Next, divide both sides by 3 to solve for x: x = 18 ÷ 3 x = 6

So, the solution is x = 6.

To solve 3x – 7 = 11:

1. Isolate the term with x
   3x – 7 + 7 = 11 + 7
   3x = 18

2. Solve for x by dividing by 3
   3x / 3 = 18 / 3
   x = 6

To solve the equation 3x – 7 = 11, follow these steps:

1. Add 7 to both sides of the equation to isolate the term with x:   3x – 7 + 7 = 11 + 7
     This simplifies to 3x = 18.

2. Divide both sides by 3 to solve for x:   3x/3 = 18/3
     This gives x = 6.

So the solution to the equation is x = 6.

To solve 3x – 7 = 11 for x, follow these steps:

1. Add 7 to both sides to isolate the term with x:
   3x – 7 + 7 = 11 + 7
   3x = 18

2. Divide both sides by 3 to solve for x:
   x = 18 ÷ 3
   x = 6

So the solution is x = 6.