[6(x+4)-18]-[4(x-6)+8]=

Solution for [6(x+4)-18]-[4(x-6)+8]= equation:

Simplifying
[6(x + 4) + -18] + -1[4(x + -6) + 8] = 0

Reorder the terms:
[6(4 + x) + -18] + -1[4(x + -6) + 8] = 0
[(4 * 6 + x * 6) + -18] + -1[4(x + -6) + 8] = 0
[(24 + 6x) + -18] + -1[4(x + -6) + 8] = 0

Reorder the terms:
[24 + -18 + 6x] + -1[4(x + -6) + 8] = 0

Combine like terms: 24 + -18 = 6
[6 + 6x] + -1[4(x + -6) + 8] = 0

Remove brackets around [6 + 6x]
6 + 6x + -1[4(x + -6) + 8] = 0

Reorder the terms:
6 + 6x + -1[4(-6 + x) + 8] = 0
6 + 6x + -1[(-6 * 4 + x * 4) + 8] = 0
6 + 6x + -1[(-24 + 4x) + 8] = 0

Reorder the terms:
6 + 6x + -1[-24 + 8 + 4x] = 0

Combine like terms: -24 + 8 = -16
6 + 6x + -1[-16 + 4x] = 0
6 + 6x + [-16 * -1 + 4x * -1] = 0
6 + 6x + [16 + -4x] = 0

Reorder the terms:
6 + 16 + 6x + -4x = 0

Combine like terms: 6 + 16 = 22
22 + 6x + -4x = 0

Combine like terms: 6x + -4x = 2x
22 + 2x = 0

Solving
22 + 2x = 0

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 2x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 0 + -22
2x = 0 + -22

Combine like terms: 0 + -22 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11