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

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

Simplifying
3(2x + 2) + 6(x + -2) = 0

Reorder the terms:
3(2 + 2x) + 6(x + -2) = 0
(2 * 3 + 2x * 3) + 6(x + -2) = 0
(6 + 6x) + 6(x + -2) = 0

Reorder the terms:
6 + 6x + 6(-2 + x) = 0
6 + 6x + (-2 * 6 + x * 6) = 0
6 + 6x + (-12 + 6x) = 0

Reorder the terms:
6 + -12 + 6x + 6x = 0

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

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

Solving
-6 + 12x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 12x = 0 + 6

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

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

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5