Question

Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.

Add 2, subtract 2x, then divide by 2.

Add 2, subtract 4x, then divide by -2.

Subtract 4, subtract 2x, then divide by -2.

Subtract 4, subtract 4x, then divide by 2.

Answer 1

add 2, subtract 2x, then divide by 2

2x + 4 = 4x - 2 (add 2 to both sides)
2x + 4 + 2 = 4x
2x + 6 = 4x (subtract 2x from both sides)
6 = 4x - 2x
6 = 2x (divide by 2)
3 = x