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

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = 1.5y

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