0.05+0.10(100-x)=0.45x

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Solution for 0.05+0.10(100-x)=0.45x equation: 


Simplifying
0.05 + 0.10(100 + -1x) = 0.45x
0.05 + (100 * 0.10 + -1x * 0.10) = 0.45x
0.05 + (10 + -0.1x) = 0.45x

Combine like terms: 0.05 + 10 = 10.05
10.05 + -0.1x = 0.45x

Solving
10.05 + -0.1x = 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
10.05 + -0.1x + -0.45x = 0.45x + -0.45x

Combine like terms: -0.1x + -0.45x = -0.55x
10.05 + -0.55x = 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
10.05 + -0.55x = 0.00

Add '-10.05' to each side of the equation.
10.05 + -10.05 + -0.55x = 0.00 + -10.05

Combine like terms: 10.05 + -10.05 = 0.00
0.00 + -0.55x = 0.00 + -10.05
-0.55x = 0.00 + -10.05

Combine like terms: 0.00 + -10.05 = -10.05
-0.55x = -10.05

Divide each side by '-0.55'.
x = 18.27272727

Simplifying
x = 18.27272727

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