2x+y=3x-2y

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


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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 3y

Simplifying
x = 3y

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