6[6-(-8x-2)]=144x+72

Solution for 6[6-(-8x-2)]=144x+72 equation:

Simplifying
6[6 + -1(-8x + -2)] = 144x + 72

Reorder the terms:
6[6 + -1(-2 + -8x)] = 144x + 72
6[6 + (-2 * -1 + -8x * -1)] = 144x + 72
6[6 + (2 + 8x)] = 144x + 72

Combine like terms: 6 + 2 = 8
6[8 + 8x] = 144x + 72
[8 * 6 + 8x * 6] = 144x + 72
[48 + 48x] = 144x + 72

Reorder the terms:
48 + 48x = 72 + 144x

Solving
48 + 48x = 72 + 144x

Solving for variable 'x'.

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

Add '-144x' to each side of the equation.
48 + 48x + -144x = 72 + 144x + -144x

Combine like terms: 48x + -144x = -96x
48 + -96x = 72 + 144x + -144x

Combine like terms: 144x + -144x = 0
48 + -96x = 72 + 0
48 + -96x = 72

Add '-48' to each side of the equation.
48 + -48 + -96x = 72 + -48

Combine like terms: 48 + -48 = 0
0 + -96x = 72 + -48
-96x = 72 + -48

Combine like terms: 72 + -48 = 24
-96x = 24

Divide each side by '-96'.
x = -0.25

Simplifying
x = -0.25