Solve for x.

6 - 3 (2x - 4) = 2 (1 + x)

A. - 2

B. o

C. - 1

D. 2

Answer: D) X = 2

Step-by-step explanation:

1) Reorder the terms:

6 + - 3 (-4 + 2x) = 2 (1 + x)

6 + (-4 * - 3 + 2x * - 3) = 2 (1 + x)

6 + (12 + - 6x) = 2 (1 + x)

2) Combine like terms: 6 + 12 = 18

18 + - 6x = 2 (1 + x)

18 + - 6x = (1 * 2 + x * 2)

18 + - 6x = (2 + 2x)

3) Solving

18 + - 6x = 2 + 2x

4) Solving for variable 'x'.

5) Move all terms containing x to the left, all other terms to the right.

6) Add '-2x' to each side of the equation.

18 + - 6x + - 2x = 2 + 2x + - 2x

7) Combine like terms: - 6x + - 2x = - 8x

18 + - 8x = 2 + 2x + - 2x

8) Combine like terms: 2x + - 2x = 0

18 + - 8x = 2 + 0

18 + - 8x = 2

9) Add '-18' to each side of the equation.

18 + - 18 + - 8x = 2 + - 18

10) Combine like terms: 18 + - 18 = 0

0 + - 8x = 2 + - 18

-8x = 2 + - 18

11) Combine like terms: 2 + - 18 = - 16

-8x = - 16

12) Divide each side by '-8'.

x = 2

13) Simplifying

x = 2