x+2y=5y-x

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Solution for x+2y=5y-x equation:


Simplifying
x + 2y = 5y + -1x

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

Solving
x + 2y = -1x + 5y

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 + 2y = -1x + x + 5y

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

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

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

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

Combine like terms: 5y + -2y = 3y
2x = 3y

Divide each side by '2'.
x = 1.5y

Simplifying
x = 1.5y

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