3y-5x=x+9

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Solution for 3y-5x=x+9 equation:


Simplifying
3y + -5x = x + 9

Reorder the terms:
-5x + 3y = x + 9

Reorder the terms:
-5x + 3y = 9 + x

Solving
-5x + 3y = 9 + 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.
-5x + -1x + 3y = 9 + x + -1x

Combine like terms: -5x + -1x = -6x
-6x + 3y = 9 + x + -1x

Combine like terms: x + -1x = 0
-6x + 3y = 9 + 0
-6x + 3y = 9

Add '-3y' to each side of the equation.
-6x + 3y + -3y = 9 + -3y

Combine like terms: 3y + -3y = 0
-6x + 0 = 9 + -3y
-6x = 9 + -3y

Divide each side by '-6'.
x = -1.5 + 0.5y

Simplifying
x = -1.5 + 0.5y

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