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

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


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

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

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

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

Reorder the terms:
3x + y = -1x + y

Add '-1y' to each side of the equation.
3x + y + -1y = -1x + y + -1y

Combine like terms: y + -1y = 0
3x + 0 = -1x + y + -1y
3x = -1x + y + -1y

Combine like terms: y + -1y = 0
3x = -1x + 0
3x = -1x

Solving
3x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3x + x = -1x + x

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

Combine like terms: -1x + x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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