(3y-x)=(x+2y)

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Solution for (3y-x)=(x+2y) equation:


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

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

Remove parenthesis around (-1x + 3y)
-1x + 3y = (x + 2y)

Remove parenthesis around (x + 2y)
-1x + 3y = x + 2y

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

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

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

Combine like terms: x + -1x = 0
-2x + 3y = 0 + 2y
-2x + 3y = 2y

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

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

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

Divide each side by '-2'.
x = 0.5y

Simplifying
x = 0.5y

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