(2x+y)+(x+2y)=180

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


Simplifying
(2x + y) + (x + 2y) = 180

Remove parenthesis around (2x + y)
2x + y + (x + 2y) = 180

Remove parenthesis around (x + 2y)
2x + y + x + 2y = 180

Reorder the terms:
2x + x + y + 2y = 180

Combine like terms: 2x + x = 3x
3x + y + 2y = 180

Combine like terms: y + 2y = 3y
3x + 3y = 180

Solving
3x + 3y = 180

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
3x + 3y + -3y = 180 + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = 180 + -3y
3x = 180 + -3y

Divide each side by '3'.
x = 60 + -1y

Simplifying
x = 60 + -1y

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