3(2x-2)+2(2x+6)=10

Solution for 3(2x-2)+2(2x+6)=10 equation:

Simplifying
3(2x + -2) + 2(2x + 6) = 10

Reorder the terms:
3(-2 + 2x) + 2(2x + 6) = 10
(-2 * 3 + 2x * 3) + 2(2x + 6) = 10
(-6 + 6x) + 2(2x + 6) = 10

Reorder the terms:
-6 + 6x + 2(6 + 2x) = 10
-6 + 6x + (6 * 2 + 2x * 2) = 10
-6 + 6x + (12 + 4x) = 10

Reorder the terms:
-6 + 12 + 6x + 4x = 10

Combine like terms: -6 + 12 = 6
6 + 6x + 4x = 10

Combine like terms: 6x + 4x = 10x
6 + 10x = 10

Solving
6 + 10x = 10

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 + 10x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 10 + -6
10x = 10 + -6

Combine like terms: 10 + -6 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4