5x-y=3x-5

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


Simplifying
5x + -1y = 3x + -5

Reorder the terms:
5x + -1y = -5 + 3x

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

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

Combine like terms: 5x + -3x = 2x
2x + -1y = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
2x + -1y = -5 + 0
2x + -1y = -5

Add 'y' to each side of the equation.
2x + -1y + y = -5 + y

Combine like terms: -1y + y = 0
2x + 0 = -5 + y
2x = -5 + y

Divide each side by '2'.
x = -2.5 + 0.5y

Simplifying
x = -2.5 + 0.5y

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