2(x+(x-4))=64

Solution for 2(x+(x-4))=64 equation:

Simplifying
2(x + (x + -4)) = 64

Reorder the terms:
2(x + (-4 + x)) = 64

Remove parenthesis around (-4 + x)
2(x + -4 + x) = 64

Reorder the terms:
2(-4 + x + x) = 64

Combine like terms: x + x = 2x
2(-4 + 2x) = 64
(-4 * 2 + 2x * 2) = 64
(-8 + 4x) = 64

Solving
-8 + 4x = 64

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 4x = 64 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 64 + 8
4x = 64 + 8

Combine like terms: 64 + 8 = 72
4x = 72

Divide each side by '4'.
x = 18

Simplifying
x = 18