0.2(x+100)+1.6x=101

Solution for 0.2(x+100)+1.6x=101 equation:

Simplifying
0.2(x + 100) + 1.6x = 101

Reorder the terms:
0.2(100 + x) + 1.6x = 101
(100 * 0.2 + x * 0.2) + 1.6x = 101
(20 + 0.2x) + 1.6x = 101

Combine like terms: 0.2x + 1.6x = 1.8x
20 + 1.8x = 101

Solving
20 + 1.8x = 101

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 1.8x = 101 + -20

Combine like terms: 20 + -20 = 0
0 + 1.8x = 101 + -20
1.8x = 101 + -20

Combine like terms: 101 + -20 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45