0.90(x+80)+0.30x=108

Solution for 0.90(x+80)+0.30x=108 equation:

Simplifying
0.90(x + 80) + 0.30x = 108

Reorder the terms:
0.90(80 + x) + 0.30x = 108
(80 * 0.90 + x * 0.90) + 0.30x = 108
(72 + 0.90x) + 0.30x = 108

Combine like terms: 0.90x + 0.30x = 1.2x
72 + 1.2x = 108

Solving
72 + 1.2x = 108

Solving for variable 'x'.

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

Add '-72' to each side of the equation.
72 + -72 + 1.2x = 108 + -72

Combine like terms: 72 + -72 = 0
0 + 1.2x = 108 + -72
1.2x = 108 + -72

Combine like terms: 108 + -72 = 36
1.2x = 36

Divide each side by '1.2'.
x = 30

Simplifying
x = 30