(x+y)+(4y+x)=180

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Solution for (x+y)+(4y+x)=180 equation: 


Simplifying
(x + y) + (4y + x) = 180

Remove parenthesis around (x + y)
x + y + (4y + x) = 180

Reorder the terms:
x + y + (x + 4y) = 180

Remove parenthesis around (x + 4y)
x + y + x + 4y = 180

Reorder the terms:
x + x + y + 4y = 180

Combine like terms: x + x = 2x
2x + y + 4y = 180

Combine like terms: y + 4y = 5y
2x + 5y = 180

Solving
2x + 5y = 180

Solving for variable 'x'.

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

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

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

Divide each side by '2'.
x = 90 + -2.5y

Simplifying
x = 90 + -2.5y

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