3x-y-x-y=-2(x-y)

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Solution for 3x-y-x-y=-2(x-y) equation:


Simplifying
3x + -1y + -1x + -1y = -2(x + -1y)

Reorder the terms:
3x + -1x + -1y + -1y = -2(x + -1y)

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

Combine like terms: -1y + -1y = -2y
2x + -2y = -2(x + -1y)
2x + -2y = (x * -2 + -1y * -2)
2x + -2y = (-2x + 2y)

Solving
2x + -2y = -2x + 2y

Solving for variable 'x'.

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

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

Combine like terms: 2x + 2x = 4x
4x + -2y = -2x + 2x + 2y

Combine like terms: -2x + 2x = 0
4x + -2y = 0 + 2y
4x + -2y = 2y

Add '2y' to each side of the equation.
4x + -2y + 2y = 2y + 2y

Combine like terms: -2y + 2y = 0
4x + 0 = 2y + 2y
4x = 2y + 2y

Combine like terms: 2y + 2y = 4y
4x = 4y

Divide each side by '4'.
x = y

Simplifying
x = y

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