20(6-y)+5(0.5x)+60=180

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Solution for 20(6-y)+5(0.5x)+60=180 equation: 


Simplifying
20(6 + -1y) + 5(0.5x) + 60 = 180
(6 * 20 + -1y * 20) + 5(0.5x) + 60 = 180
(120 + -20y) + 5(0.5x) + 60 = 180

Remove parenthesis around (0.5x)
120 + -20y + 5 * 0.5x + 60 = 180

Multiply 5 * 0.5
120 + -20y + 2.5x + 60 = 180

Reorder the terms:
120 + 60 + 2.5x + -20y = 180

Combine like terms: 120 + 60 = 180
180 + 2.5x + -20y = 180

Add '-180' to each side of the equation.
180 + 2.5x + -180 + -20y = 180 + -180

Reorder the terms:
180 + -180 + 2.5x + -20y = 180 + -180

Combine like terms: 180 + -180 = 0
0 + 2.5x + -20y = 180 + -180
2.5x + -20y = 180 + -180

Combine like terms: 180 + -180 = 0
2.5x + -20y = 0

Solving
2.5x + -20y = 0

Solving for variable 'x'.

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

Add '20y' to each side of the equation.
2.5x + -20y + 20y = 0 + 20y

Combine like terms: -20y + 20y = 0
2.5x + 0 = 0 + 20y
2.5x = 0 + 20y
Remove the zero:
2.5x = 20y

Divide each side by '2.5'.
x = 8y

Simplifying
x = 8y

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