Question

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

A.add 2, subtract 2x, then divide by 2
B.add 2, subtract 4x, then divide by -2
C.subtract 4, subtract 2x, then divide by -2
D.subtract 4, subtracts 4x, then divide by 2.,

Answer 1

A is the correct answer.

1. 2x+4=4x-2
2. 2x+4+2=4x-2+2
3. 2x+6=4x
4. 2x-2x+6=4x-2x
5. 6/2=2x/2
6. 3=x

Answer 2

The correct answer is A, as you add two to both sides, giving 2x +6=4x, then subtract 2x from both sides, giving 6=2x, and then divide both sides by 2, giving 3=x.