.5(x+50)+1.1x=89

Solution for .5(x+50)+1.1x=89 equation:

Simplifying
0.5(x + 50) + 1.1x = 89

Reorder the terms:
0.5(50 + x) + 1.1x = 89
(50 * 0.5 + x * 0.5) + 1.1x = 89
(25 + 0.5x) + 1.1x = 89

Combine like terms: 0.5x + 1.1x = 1.6x
25 + 1.6x = 89

Solving
25 + 1.6x = 89

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 1.6x = 89 + -25

Combine like terms: 25 + -25 = 0
0 + 1.6x = 89 + -25
1.6x = 89 + -25

Combine like terms: 89 + -25 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40