(4x+6y)+(5x+6y)=180

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Solution for (4x+6y)+(5x+6y)=180 equation: 


Simplifying
(4x + 6y) + (5x + 6y) = 180

Remove parenthesis around (4x + 6y)
4x + 6y + (5x + 6y) = 180

Remove parenthesis around (5x + 6y)
4x + 6y + 5x + 6y = 180

Reorder the terms:
4x + 5x + 6y + 6y = 180

Combine like terms: 4x + 5x = 9x
9x + 6y + 6y = 180

Combine like terms: 6y + 6y = 12y
9x + 12y = 180

Solving
9x + 12y = 180

Solving for variable 'x'.

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

Add '-12y' to each side of the equation.
9x + 12y + -12y = 180 + -12y

Combine like terms: 12y + -12y = 0
9x + 0 = 180 + -12y
9x = 180 + -12y

Divide each side by '9'.
x = 20 + -1.333333333y

Simplifying
x = 20 + -1.333333333y

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