3x+y=2x-y

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


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

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

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

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

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

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

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

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

Divide each side by '1'.
x = -2y

Simplifying
x = -2y

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