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
