2x-y=3y-x

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Solution for 2x-y=3y-x equation:


Simplifying
2x + -1y = 3y + -1x

Reorder the terms:
2x + -1y = -1x + 3y

Solving
2x + -1y = -1x + 3y

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.
2x + x + -1y = -1x + x + 3y

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

Combine like terms: -1x + x = 0
3x + -1y = 0 + 3y
3x + -1y = 3y

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

Combine like terms: -1y + y = 0
3x + 0 = 3y + y
3x = 3y + y

Combine like terms: 3y + y = 4y
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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