2x+3y=x-2y

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


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

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

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

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

Add '-3y' to each side of the equation.
1x + 3y + -3y = -2y + -3y

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

Combine like terms: -2y + -3y = -5y
1x = -5y

Divide each side by '1'.
x = -5y

Simplifying
x = -5y

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