0.1(x+20)+1.7x=83

Solution for 0.1(x+20)+1.7x=83 equation:

Simplifying
0.1(x + 20) + 1.7x = 83

Reorder the terms:
0.1(20 + x) + 1.7x = 83
(20 * 0.1 + x * 0.1) + 1.7x = 83
(2 + 0.1x) + 1.7x = 83

Combine like terms: 0.1x + 1.7x = 1.8x
2 + 1.8x = 83

Solving
2 + 1.8x = 83

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1.8x = 83 + -2

Combine like terms: 2 + -2 = 0
0 + 1.8x = 83 + -2
1.8x = 83 + -2

Combine like terms: 83 + -2 = 81
1.8x = 81

Divide each side by '1.8'.
x = 45

Simplifying
x = 45