2x-3y=x-2

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


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

Reorder the terms:
2x + -3y = -2 + x

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

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 = -2 + x + -1x

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

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

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

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

Divide each side by '1'.
x = -2 + 3y

Simplifying
x = -2 + 3y

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