108=x-.1x

Solution for 108=x-.1x equation:

Simplifying
108 = x + -0.1x

Combine like terms: x + -0.1x = 0.9x
108 = 0.9x

Solving
108 = 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
108 + -0.9x = 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
108 + -0.9x = 0.0

Add '-108' to each side of the equation.
108 + -108 + -0.9x = 0.0 + -108

Combine like terms: 108 + -108 = 0
0 + -0.9x = 0.0 + -108
-0.9x = 0.0 + -108

Combine like terms: 0.0 + -108 = -108
-0.9x = -108

Divide each side by '-0.9'.
x = 120

Simplifying
x = 120