0.5(x+100)+0.1x=59

Solution for 0.5(x+100)+0.1x=59 equation:

Simplifying
0.5(x + 100) + 0.1x = 59

Reorder the terms:
0.5(100 + x) + 0.1x = 59
(100 * 0.5 + x * 0.5) + 0.1x = 59
(50 + 0.5x) + 0.1x = 59

Combine like terms: 0.5x + 0.1x = 0.6x
50 + 0.6x = 59

Solving
50 + 0.6x = 59

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 0.6x = 59 + -50

Combine like terms: 50 + -50 = 0
0 + 0.6x = 59 + -50
0.6x = 59 + -50

Combine like terms: 59 + -50 = 9
0.6x = 9

Divide each side by '0.6'.
x = 15

Simplifying
x = 15