x+2x+2y+3x+4y=180

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Solution for x+2x+2y+3x+4y=180 equation:


Simplifying
x + 2x + 2y + 3x + 4y = 180

Reorder the terms:
x + 2x + 3x + 2y + 4y = 180

Combine like terms: x + 2x = 3x
3x + 3x + 2y + 4y = 180

Combine like terms: 3x + 3x = 6x
6x + 2y + 4y = 180

Combine like terms: 2y + 4y = 6y
6x + 6y = 180

Solving
6x + 6y = 180

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
6x + 6y + -6y = 180 + -6y

Combine like terms: 6y + -6y = 0
6x + 0 = 180 + -6y
6x = 180 + -6y

Divide each side by '6'.
x = 30 + -1y

Simplifying
x = 30 + -1y

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