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

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


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

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

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

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

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

Add '-2y' to each side of the equation.
x + 2y + -2y = -1x + 2y + -2y

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

Combine like terms: 2y + -2y = 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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