3y-2x=9

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Solution for 3y-2x=9 equation: 


Simplifying
3y + -2x = 9

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

Solving
-2x + 3y = 9

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
-2x + 3y + -3y = 9 + -3y

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

Divide each side by '-2'.
x = -4.5 + 1.5y

Simplifying
x = -4.5 + 1.5y

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