x-3y=2x+y

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


Simplifying
x + -3y = 2x + y

Solving
x + -3y = 2x + y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

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

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

Combine like terms: y + 3y = 4y
-1x = 4y

Divide each side by '-1'.
x = -4y

Simplifying
x = -4y

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