2(3(x+2)-x)=4

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

Simplifying
2(3(x + 2) + -1x) = 4

Reorder the terms:
2(3(2 + x) + -1x) = 4
2((2 * 3 + x * 3) + -1x) = 4
2((6 + 3x) + -1x) = 4

Combine like terms: 3x + -1x = 2x
2(6 + 2x) = 4
(6 * 2 + 2x * 2) = 4
(12 + 4x) = 4

Solving
12 + 4x = 4

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 + 4x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 4 + -12
4x = 4 + -12

Combine like terms: 4 + -12 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2