0.05x+0.1(200-x)=0.450x

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Solution for 0.05x+0.1(200-x)=0.450x equation: 


Simplifying
0.05x + 0.1(200 + -1x) = 0.450x
0.05x + (200 * 0.1 + -1x * 0.1) = 0.450x
0.05x + (20 + -0.1x) = 0.450x

Reorder the terms:
20 + 0.05x + -0.1x = 0.450x

Combine like terms: 0.05x + -0.1x = -0.05x
20 + -0.05x = 0.450x

Solving
20 + -0.05x = 0.450x

Solving for variable 'x'.

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

Add '-0.450x' to each side of the equation.
20 + -0.05x + -0.450x = 0.450x + -0.450x

Combine like terms: -0.05x + -0.450x = -0.5x
20 + -0.5x = 0.450x + -0.450x

Combine like terms: 0.450x + -0.450x = 0.000
20 + -0.5x = 0.000

Add '-20' to each side of the equation.
20 + -20 + -0.5x = 0.000 + -20

Combine like terms: 20 + -20 = 0
0 + -0.5x = 0.000 + -20
-0.5x = 0.000 + -20

Combine like terms: 0.000 + -20 = -20
-0.5x = -20

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

Simplifying
x = 40

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