100=x-(0.1x)

Solution for 100=x-(0.1x) equation:

Simplifying
100 = x + -1(0.1x)

Remove parenthesis around (0.1x)
100 = x + -1 * 0.1x

Multiply -1 * 0.1
100 = x + -0.1x

Combine like terms: x + -0.1x = 0.9x
100 = 0.9x

Solving
100 = 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.
100 + -0.9x = 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
100 + -0.9x = 0.0

Add '-100' to each side of the equation.
100 + -100 + -0.9x = 0.0 + -100

Combine like terms: 100 + -100 = 0
0 + -0.9x = 0.0 + -100
-0.9x = 0.0 + -100

Combine like terms: 0.0 + -100 = -100
-0.9x = -100

Divide each side by '-0.9'.
x = 111.1111111

Simplifying
x = 111.1111111