x=100-0.1x

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Solution for x=100-0.1x equation: 


Simplifying
x = 100 + -0.1x

Solving
x = 100 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
x + 0.1x = 100 + -0.1x + 0.1x

Combine like terms: x + 0.1x = 1.1x
1.1x = 100 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
1.1x = 100 + 0.0
1.1x = 100

Divide each side by '1.1'.
x = 90.90909091

Simplifying
x = 90.90909091

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