3(x-2)2=108

Solution for 3(x-2)2=108 equation:

Simplifying
3(x + -2) * 2 = 108

Reorder the terms:
3(-2 + x) * 2 = 108

Reorder the terms for easier multiplication:
3 * 2(-2 + x) = 108

Multiply 3 * 2
6(-2 + x) = 108
(-2 * 6 + x * 6) = 108
(-12 + 6x) = 108

Solving
-12 + 6x = 108

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 6x = 108 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 108 + 12
6x = 108 + 12

Combine like terms: 108 + 12 = 120
6x = 120

Divide each side by '6'.
x = 20

Simplifying
x = 20