10.10(.125-x)=x

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Solution for 10.10(.125-x)=x equation:


Simplifying
10.10(0.125 + -1x) = x
(0.125 * 10.10 + -1x * 10.10) = x
(1.2625 + -10.1x) = x

Solving
1.2625 + -10.1x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1.2625 + -10.1x + -1x = x + -1x

Combine like terms: -10.1x + -1x = -11.1x
1.2625 + -11.1x = x + -1x

Combine like terms: x + -1x = 0
1.2625 + -11.1x = 0

Add '-1.2625' to each side of the equation.
1.2625 + -1.2625 + -11.1x = 0 + -1.2625

Combine like terms: 1.2625 + -1.2625 = 0.0000
0.0000 + -11.1x = 0 + -1.2625
-11.1x = 0 + -1.2625

Combine like terms: 0 + -1.2625 = -1.2625
-11.1x = -1.2625

Divide each side by '-11.1'.
x = 0.1137387387

Simplifying
x = 0.1137387387

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