(5y-20)+(2x-5)=180

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Solution for (5y-20)+(2x-5)=180 equation: 


Simplifying
(5y + -20) + (2x + -5) = 180

Reorder the terms:
(-20 + 5y) + (2x + -5) = 180

Remove parenthesis around (-20 + 5y)
-20 + 5y + (2x + -5) = 180

Reorder the terms:
-20 + 5y + (-5 + 2x) = 180

Remove parenthesis around (-5 + 2x)
-20 + 5y + -5 + 2x = 180

Reorder the terms:
-20 + -5 + 2x + 5y = 180

Combine like terms: -20 + -5 = -25
-25 + 2x + 5y = 180

Solving
-25 + 2x + 5y = 180

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 2x + 25 + 5y = 180 + 25

Reorder the terms:
-25 + 25 + 2x + 5y = 180 + 25

Combine like terms: -25 + 25 = 0
0 + 2x + 5y = 180 + 25
2x + 5y = 180 + 25

Combine like terms: 180 + 25 = 205
2x + 5y = 205

Add '-5y' to each side of the equation.
2x + 5y + -5y = 205 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 205 + -5y
2x = 205 + -5y

Divide each side by '2'.
x = 102.5 + -2.5y

Simplifying
x = 102.5 + -2.5y

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