2x-3y=5x+6

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Solution for 2x-3y=5x+6 equation:


Simplifying
2x + -3y = 5x + 6

Reorder the terms:
2x + -3y = 6 + 5x

Solving
2x + -3y = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2x + -5x + -3y = 6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x + -3y = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3x + -3y = 6 + 0
-3x + -3y = 6

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

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

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

Simplifying
x = -2 + -1y

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