(x+2y)+(x+6y)=180

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Solution for (x+2y)+(x+6y)=180 equation: 


Simplifying
(x + 2y) + (x + 6y) = 180

Remove parenthesis around (x + 2y)
x + 2y + (x + 6y) = 180

Remove parenthesis around (x + 6y)
x + 2y + x + 6y = 180

Reorder the terms:
x + x + 2y + 6y = 180

Combine like terms: x + x = 2x
2x + 2y + 6y = 180

Combine like terms: 2y + 6y = 8y
2x + 8y = 180

Solving
2x + 8y = 180

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
2x + 8y + -8y = 180 + -8y

Combine like terms: 8y + -8y = 0
2x + 0 = 180 + -8y
2x = 180 + -8y

Divide each side by '2'.
x = 90 + -4y

Simplifying
x = 90 + -4y

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