2x-3y=2-x

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


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

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

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '3'.
x = 0.6666666667 + y

Simplifying
x = 0.6666666667 + y

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