.05x+.10(200-x)=.045x

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Solution for .05x+.10(200-x)=.045x equation:


Simplifying
0.05x + 0.10(200 + -1x) = 0.045x
0.05x + (200 * 0.10 + -1x * 0.10) = 0.045x
0.05x + (20 + -0.1x) = 0.045x

Reorder the terms:
20 + 0.05x + -0.1x = 0.045x

Combine like terms: 0.05x + -0.1x = -0.05x
20 + -0.05x = 0.045x

Solving
20 + -0.05x = 0.045x

Solving for variable 'x'.

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

Add '-0.045x' to each side of the equation.
20 + -0.05x + -0.045x = 0.045x + -0.045x

Combine like terms: -0.05x + -0.045x = -0.095x
20 + -0.095x = 0.045x + -0.045x

Combine like terms: 0.045x + -0.045x = 0.000
20 + -0.095x = 0.000

Add '-20' to each side of the equation.
20 + -20 + -0.095x = 0.000 + -20

Combine like terms: 20 + -20 = 0
0 + -0.095x = 0.000 + -20
-0.095x = 0.000 + -20

Combine like terms: 0.000 + -20 = -20
-0.095x = -20

Divide each side by '-0.095'.
x = 210.5263158

Simplifying
x = 210.5263158

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