100=0.9*(100+x)

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Solution for 100=0.9*(100+x) equation: 


Simplifying
100 = 0.9(100 + x)
100 = (100 * 0.9 + x * 0.9)
100 = (90 + 0.9x)

Solving
100 = 90 + 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 = 90 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
100 + -0.9x = 90 + 0.0
100 + -0.9x = 90

Add '-100' to each side of the equation.
100 + -100 + -0.9x = 90 + -100

Combine like terms: 100 + -100 = 0
0 + -0.9x = 90 + -100
-0.9x = 90 + -100

Combine like terms: 90 + -100 = -10
-0.9x = -10

Divide each side by '-0.9'.
x = 11.11111111

Simplifying
x = 11.11111111

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