(4x)+(2y-x)=(2y+x)

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


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

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

Remove parenthesis around (-1x + 2y)
(4x) + -1x + 2y = (2y + x)

Combine like terms: (4x) + -1x = 3x
3x + 2y = (2y + x)

Reorder the terms:
3x + 2y = (x + 2y)

Remove parenthesis around (x + 2y)
3x + 2y = x + 2y

Add '-2y' to each side of the equation.
3x + 2y + -2y = x + 2y + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = x + 2y + -2y
3x = x + 2y + -2y

Combine like terms: 2y + -2y = 0
3x = x + 0
3x = x

Solving
3x = x

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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