4x+2y+x=2y-x

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Solution for 4x+2y+x=2y-x equation:


Simplifying
4x + 2y + x = 2y + -1x

Reorder the terms:
4x + x + 2y = 2y + -1x

Combine like terms: 4x + x = 5x
5x + 2y = 2y + -1x

Reorder the terms:
5x + 2y = -1x + 2y

Add '-2y' to each side of the equation.
5x + 2y + -2y = -1x + 2y + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = -1x + 2y + -2y
5x = -1x + 2y + -2y

Combine like terms: 2y + -2y = 0
5x = -1x + 0
5x = -1x

Solving
5x = -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.
5x + x = -1x + x

Combine like terms: 5x + x = 6x
6x = -1x + x

Combine like terms: -1x + x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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