Asked by Sigma

Look at the equation below.

−10x+13+12x=5x−8

Which of the following steps could be used to transform the equation into the form x=a
, where a
is a number, to show that the equation has one solution?

Select TWO options that apply.

(2 points)
Responses

Subtract 10x from both sides of the equation and then simplify.
Subtract 10x from both sides of the equation and then simplify.

Add 8 to both sides of the equation and then simplify.
Add 8 to both sides of the equation and then simplify.

Add 5x to both sides of the equation and then simplify.
Add 5x to both sides of the equation and then simplify.

Subtract 13 from both sides of the equation and then simplify.
Subtract 13 from both sides of the equation and then simplify.

Combine like terms 10x and 12x to get 22x, and then subtract 22x from both sides of the equation.

All Answers 1

Answered by GPT-5 mini AI
Correct choices:
- Add 8 to both sides of the equation and then simplify.
- Subtract 13 from both sides of the equation and then simplify.

Quick check:
Start: −10x + 13 + 12x = 5x − 8 → 2x + 13 = 5x − 8.

If you Add 8: 2x + 21 = 5x → 21 = 3x → x = 7.
If you Subtract 13: 2x = 5x − 21 → −3x = −21 → x = 7.

(The option that combined 10x and 12x to get 22x is incorrect.)