Which of these steps would correctly solve this equation?

Question

5x=−7x+6
(1 point)
Responses

Add 5x to both sides, then divide by 12, x=12
Add 5x to both sides, then divide by 12, x is equal to 1 half

Add 7x to both sides, then divide by 12, x=12
Add 7x to both sides, then divide by 12, x is equal to 1 half

Subtract 7x from both sides, then divide by 12, x=12
Subtract 7x from both sides, then divide by 12, x is equal to 1 half

Add 7x to both sides, then multiply by 12, x=12

Answer 1

Let's solve the equation step-by-step:

Given equation:
\[ 5x = -7x + 6 \]

Step 1: Add \( 7x \) to both sides.
\[ 5x + 7x = 6 \]
\[ 12x = 6 \]

Step 2: Divide both sides by 12.
\[ x = \frac{6}{12} \]
\[ x = \frac{1}{2} \]

Now looking at the responses given:

1. Add 5x to both sides, then divide by 12, x=12
2. Add 5x to both sides, then divide by 12, x is equal to 1 half
3. Add 7x to both sides, then divide by 12, x=12
4. Add 7x to both sides, then divide by 12, x is equal to 1 half
5. Subtract 7x from both sides, then divide by 12, x=12
6. Subtract 7x from both sides, then divide by 12, x is equal to 1 half
7. Add 7x to both sides, then multiply by 12, x=12

The correct step is represented in the following response:

"Add 7x to both sides, then divide by 12, x is equal to 1 half."

So that would be the correct choice.