0.1(x+100)+1.7x=91

Solution for 0.1(x+100)+1.7x=91 equation:

Simplifying
0.1(x + 100) + 1.7x = 91

Reorder the terms:
0.1(100 + x) + 1.7x = 91
(100 * 0.1 + x * 0.1) + 1.7x = 91
(10 + 0.1x) + 1.7x = 91

Combine like terms: 0.1x + 1.7x = 1.8x
10 + 1.8x = 91

Solving
10 + 1.8x = 91

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1.8x = 91 + -10

Combine like terms: 10 + -10 = 0
0 + 1.8x = 91 + -10
1.8x = 91 + -10

Combine like terms: 91 + -10 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45