0.5(x+90)+1.1x=109

Solution for 0.5(x+90)+1.1x=109 equation:

Simplifying
0.5(x + 90) + 1.1x = 109

Reorder the terms:
0.5(90 + x) + 1.1x = 109
(90 * 0.5 + x * 0.5) + 1.1x = 109
(45 + 0.5x) + 1.1x = 109

Combine like terms: 0.5x + 1.1x = 1.6x
45 + 1.6x = 109

Solving
45 + 1.6x = 109

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 1.6x = 109 + -45

Combine like terms: 45 + -45 = 0
0 + 1.6x = 109 + -45
1.6x = 109 + -45

Combine like terms: 109 + -45 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40