0.10(50)+x(y)=0.20(50+y)

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Solution for 0.10(50)+x(y)=0.20(50+y) equation: 


Simplifying
0.10(50) + x(y) = 0.20(50 + y)

Multiply 0.10 * 50
5 + x(y) = 0.20(50 + y)

Multiply x * y
5 + xy = 0.20(50 + y)
5 + xy = (50 * 0.20 + y * 0.20)
5 + xy = (10 + 0.20y)

Solving
5 + xy = 10 + 0.20y

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + xy = 10 + -5 + 0.20y

Combine like terms: 5 + -5 = 0
0 + xy = 10 + -5 + 0.20y
xy = 10 + -5 + 0.20y

Combine like terms: 10 + -5 = 5
xy = 5 + 0.20y

Divide each side by 'y'.
x = 5y-1 + 0.20

Simplifying
x = 5y-1 + 0.20

Reorder the terms:
x = 0.20 + 5y-1

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