0.80(x+100)+x=161

Solution for 0.80(x+100)+x=161 equation:

Simplifying
0.80(x + 100) + x = 161

Reorder the terms:
0.80(100 + x) + x = 161
(100 * 0.80 + x * 0.80) + x = 161
(80 + 0.80x) + x = 161

Combine like terms: 0.80x + x = 1.8x
80 + 1.8x = 161

Solving
80 + 1.8x = 161

Solving for variable 'x'.

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

Add '-80' to each side of the equation.
80 + -80 + 1.8x = 161 + -80

Combine like terms: 80 + -80 = 0
0 + 1.8x = 161 + -80
1.8x = 161 + -80

Combine like terms: 161 + -80 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45