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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 5 + -5 = 0
0 + 5x + -3y = -5 + -5 + 2y
5x + -3y = -5 + -5 + 2y

Combine like terms: -5 + -5 = -10
5x + -3y = -10 + 2y

Add '3y' to each side of the equation.
5x + -3y + 3y = -10 + 2y + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = -10 + 2y + 3y
5x = -10 + 2y + 3y

Combine like terms: 2y + 3y = 5y
5x = -10 + 5y

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

Simplifying
x = -2 + y

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