(x-2)3=x+6

Solution for (x-2)3=x+6 equation:

Simplifying
(x + -2) * 3 = x + 6

Reorder the terms:
(-2 + x) * 3 = x + 6

Reorder the terms for easier multiplication:
3(-2 + x) = x + 6
(-2 * 3 + x * 3) = x + 6
(-6 + 3x) = x + 6

Reorder the terms:
-6 + 3x = 6 + x

Solving
-6 + 3x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = 6 + x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = 6 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = 6 + 0
-6 + 2x = 6

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

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

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6