5x-3(x-y)-y=0

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Solution for 5x-3(x-y)-y=0 equation:


Simplifying
5x + -3(x + -1y) + -1y = 0
5x + (x * -3 + -1y * -3) + -1y = 0
5x + (-3x + 3y) + -1y = 0

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

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

Solving
2x + 2y = 0

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
2x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 0 + -2y
2x = 0 + -2y
Remove the zero:
2x = -2y

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

Simplifying
x = -1y

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