y+x=y-x

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Solution for y+x=y-x equation:


Simplifying
y + x = y + -1x

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

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

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

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

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

Solving
x = -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.
x + x = -1x + x

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

Combine like terms: -1x + x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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