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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + x = 3x
360 = 3x + x + -1x + y + y + y

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

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

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

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

Solving
360 = 3x + 3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
360 + -3x = 3x + -3x + 3y

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

Add '-360' to each side of the equation.
360 + -360 + -3x = -360 + 3y

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

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

Simplifying
x = 120 + -1y

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