3(x-4)2-8=4

Solution for 3(x-4)2-8=4 equation:

Simplifying
3(x + -4) * 2 + -8 = 4

Reorder the terms:
3(-4 + x) * 2 + -8 = 4

Reorder the terms for easier multiplication:
3 * 2(-4 + x) + -8 = 4

Multiply 3 * 2
6(-4 + x) + -8 = 4
(-4 * 6 + x * 6) + -8 = 4
(-24 + 6x) + -8 = 4

Reorder the terms:
-24 + -8 + 6x = 4

Combine like terms: -24 + -8 = -32
-32 + 6x = 4

Solving
-32 + 6x = 4

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 6x = 4 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = 4 + 32
6x = 4 + 32

Combine like terms: 4 + 32 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6