0.1(x+80)+1.7x=89

Solution for 0.1(x+80)+1.7x=89 equation:

Simplifying
0.1(x + 80) + 1.7x = 89

Reorder the terms:
0.1(80 + x) + 1.7x = 89
(80 * 0.1 + x * 0.1) + 1.7x = 89
(8 + 0.1x) + 1.7x = 89

Combine like terms: 0.1x + 1.7x = 1.8x
8 + 1.8x = 89

Solving
8 + 1.8x = 89

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1.8x = 89 + -8

Combine like terms: 8 + -8 = 0
0 + 1.8x = 89 + -8
1.8x = 89 + -8

Combine like terms: 89 + -8 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45