(y+x)+(y+x)+(2x)+(y-x)=360

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Solution for (y+x)+(y+x)+(2x)+(y-x)=360 equation:


Simplifying
(y + x) + (y + x) + (2x) + (y + -1x) = 360

Reorder the terms:
(x + y) + (y + x) + (2x) + (y + -1x) = 360

Remove parenthesis around (x + y)
x + y + (y + x) + (2x) + (y + -1x) = 360

Reorder the terms:
x + y + (x + y) + (2x) + (y + -1x) = 360

Remove parenthesis around (x + y)
x + y + x + y + (2x) + (y + -1x) = 360

Reorder the terms:
x + y + x + y + (2x) + (-1x + y) = 360

Remove parenthesis around (-1x + y)
x + y + x + y + (2x) + -1x + y = 360

Reorder the terms:
x + x + (2x) + -1x + y + y + y = 360

Combine like terms: x + x = 2x
2x + (2x) + -1x + y + y + y = 360

Combine like terms: 2x + (2x) = 4x
4x + -1x + y + y + y = 360

Combine like terms: 4x + -1x = 3x
3x + y + y + y = 360

Combine like terms: y + y = 2y
3x + 2y + y = 360

Combine like terms: 2y + y = 3y
3x + 3y = 360

Solving
3x + 3y = 360

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 = 360 + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = 360 + -3y
3x = 360 + -3y

Divide each side by '3'.
x = 120 + -1y

Simplifying
x = 120 + -1y

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