0.5y(x-5)=0.25y(20-x)

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Solution for 0.5y(x-5)=0.25y(20-x) equation: 


Simplifying
0.5y(x + -5) = 0.25y(20 + -1x)

Reorder the terms:
0.5y(-5 + x) = 0.25y(20 + -1x)
(-5 * 0.5y + x * 0.5y) = 0.25y(20 + -1x)

Reorder the terms:
(0.5xy + -2.5y) = 0.25y(20 + -1x)
(0.5xy + -2.5y) = 0.25y(20 + -1x)
0.5xy + -2.5y = (20 * 0.25y + -1x * 0.25y)

Reorder the terms:
0.5xy + -2.5y = (-0.25xy + 5y)
0.5xy + -2.5y = (-0.25xy + 5y)

Solving
0.5xy + -2.5y = -0.25xy + 5y

Solving for variable 'x'.

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

Add '0.25xy' to each side of the equation.
0.5xy + 0.25xy + -2.5y = -0.25xy + 0.25xy + 5y

Combine like terms: 0.5xy + 0.25xy = 0.75xy
0.75xy + -2.5y = -0.25xy + 0.25xy + 5y

Combine like terms: -0.25xy + 0.25xy = 0.00
0.75xy + -2.5y = 0.00 + 5y
0.75xy + -2.5y = 5y

Add '2.5y' to each side of the equation.
0.75xy + -2.5y + 2.5y = 5y + 2.5y

Combine like terms: -2.5y + 2.5y = 0.0
0.75xy + 0.0 = 5y + 2.5y
0.75xy = 5y + 2.5y

Combine like terms: 5y + 2.5y = 7.5y
0.75xy = 7.5y

Divide each side by '0.75y'.
x = 10

Simplifying
x = 10

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