0.05+0.10(200-x)=0.45x

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Solution for 0.05+0.10(200-x)=0.45x equation: 


Simplifying
0.05 + 0.10(200 + -1x) = 0.45x
0.05 + (200 * 0.10 + -1x * 0.10) = 0.45x
0.05 + (20 + -0.1x) = 0.45x

Combine like terms: 0.05 + 20 = 20.05
20.05 + -0.1x = 0.45x

Solving
20.05 + -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.
20.05 + -0.1x + -0.45x = 0.45x + -0.45x

Combine like terms: -0.1x + -0.45x = -0.55x
20.05 + -0.55x = 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
20.05 + -0.55x = 0.00

Add '-20.05' to each side of the equation.
20.05 + -20.05 + -0.55x = 0.00 + -20.05

Combine like terms: 20.05 + -20.05 = 0.00
0.00 + -0.55x = 0.00 + -20.05
-0.55x = 0.00 + -20.05

Combine like terms: 0.00 + -20.05 = -20.05
-0.55x = -20.05

Divide each side by '-0.55'.
x = 36.45454545

Simplifying
x = 36.45454545

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