5x-y=3(x-y)

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


Simplifying
5x + -1y = 3(x + -1y)
5x + -1y = (x * 3 + -1y * 3)
5x + -1y = (3x + -3y)

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

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 = 3x + -3x + -3y

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

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

Add 'y' to each side of the equation.
2x + -1y + y = -3y + y

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

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

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

Simplifying
x = -1y

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