0.5(x+100)+1.3x=131

Solution for 0.5(x+100)+1.3x=131 equation:

Simplifying
0.5(x + 100) + 1.3x = 131

Reorder the terms:
0.5(100 + x) + 1.3x = 131
(100 * 0.5 + x * 0.5) + 1.3x = 131
(50 + 0.5x) + 1.3x = 131

Combine like terms: 0.5x + 1.3x = 1.8x
50 + 1.8x = 131

Solving
50 + 1.8x = 131

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 + 1.8x = 131 + -50

Combine like terms: 50 + -50 = 0
0 + 1.8x = 131 + -50
1.8x = 131 + -50

Combine like terms: 131 + -50 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45