2x-3y=7y-3x+5

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Solution for 2x-3y=7y-3x+5 equation:


Simplifying
2x + -3y = 7y + -3x + 5

Reorder the terms:
2x + -3y = 5 + -3x + 7y

Solving
2x + -3y = 5 + -3x + 7y

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2x + 3x + -3y = 5 + -3x + 3x + 7y

Combine like terms: 2x + 3x = 5x
5x + -3y = 5 + -3x + 3x + 7y

Combine like terms: -3x + 3x = 0
5x + -3y = 5 + 0 + 7y
5x + -3y = 5 + 7y

Add '3y' to each side of the equation.
5x + -3y + 3y = 5 + 7y + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 5 + 7y + 3y
5x = 5 + 7y + 3y

Combine like terms: 7y + 3y = 10y
5x = 5 + 10y

Divide each side by '5'.
x = 1 + 2y

Simplifying
x = 1 + 2y

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