(2x+x)(3x+x)=108

Solution for (2x+x)(3x+x)=108 equation:

Simplifying
(2x + x)(3x + x) = 108

Combine like terms: 2x + x = 3x
(3x)(3x + x) = 108

Remove parenthesis around (3x)
3x(3x + x) = 108

Combine like terms: 3x + x = 4x
3x(4x) = 108

Remove parenthesis around (4x)
3x * 4x = 108

Reorder the terms for easier multiplication:
3 * 4x * x = 108

Multiply 3 * 4
12x * x = 108

Multiply x * x
12x2 = 108

Solving
12x2 = 108

Solving for variable 'x'.

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

Divide each side by '12'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}