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

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = -1.5y

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