.05x+0.10(200-x)=.45x

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Solution for .05x+0.10(200-x)=.45x equation: 


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

Reorder the terms:
20 + 0.05x + -0.1x = 0.45x

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

Solving
20 + -0.05x = 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 + -0.05x + -0.45x = 0.45x + -0.45x

Combine like terms: -0.05x + -0.45x = -0.5x
20 + -0.5x = 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
20 + -0.5x = 0.00

Add '-20' to each side of the equation.
20 + -20 + -0.5x = 0.00 + -20

Combine like terms: 20 + -20 = 0
0 + -0.5x = 0.00 + -20
-0.5x = 0.00 + -20

Combine like terms: 0.00 + -20 = -20
-0.5x = -20

Divide each side by '-0.5'.
x = 40

Simplifying
x = 40

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