(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)

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

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

Remove parenthesis around (-1x + y)
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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