3x-y=2x+3y-9

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Solution for 3x-y=2x+3y-9 equation:


Simplifying
3x + -1y = 2x + 3y + -9

Reorder the terms:
3x + -1y = -9 + 2x + 3y

Solving
3x + -1y = -9 + 2x + 3y

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 + -1y = -9 + 2x + -2x + 3y

Combine like terms: 3x + -2x = 1x
1x + -1y = -9 + 2x + -2x + 3y

Combine like terms: 2x + -2x = 0
1x + -1y = -9 + 0 + 3y
1x + -1y = -9 + 3y

Add 'y' to each side of the equation.
1x + -1y + y = -9 + 3y + y

Combine like terms: -1y + y = 0
1x + 0 = -9 + 3y + y
1x = -9 + 3y + y

Combine like terms: 3y + y = 4y
1x = -9 + 4y

Divide each side by '1'.
x = -9 + 4y

Simplifying
x = -9 + 4y

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