Determine which equation below has a solution of x = 1/2.

A.

5x + 8 - 12x = - 6x + 2x - 3

B.

3x - 1 - 4x = - 2x + 7x - 4

C.

-4x - 6 + x = - 2x + x - 10

D.

-3x - 8 + x = - 4x + x - 10

B

Step-by-step explanation:

To solve an equation, combine like terms and use inverse operations to isolate x.

A.

5x + 8 - 12x = - 6x + 2x - 3

-7x + 8 = - 4x - 3

8 = 3x - 3

11 = 3x

11/3 = x

B.

3x - 1 - 4x = - 2x + 7x - 4

-1 - x = 5x - 4

-1 = 6x - 4

3 = 6x

3/6 = x

1/2 = x

C.

-4x - 6 + x = - 2x + x - 10

-3x - 6 = - x - 10

-6 = 2x - 10

4 = 2x

2 = x

D.

-3x - 8 + x = - 4x + x - 10

-2x - 8 = - 3x - 10

x - 8 = - 10

x = - 2