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

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


Simplifying
2(x + -1y) + -3(y + -1x) = 0
(x * 2 + -1y * 2) + -3(y + -1x) = 0
(2x + -2y) + -3(y + -1x) = 0

Reorder the terms:
2x + -2y + -3(-1x + y) = 0
2x + -2y + (-1x * -3 + y * -3) = 0
2x + -2y + (3x + -3y) = 0

Reorder the terms:
2x + 3x + -2y + -3y = 0

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

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

Solving
5x + -5y = 0

Solving for variable 'x'.

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

Add '5y' to each side of the equation.
5x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
5x + 0 = 0 + 5y
5x = 0 + 5y
Remove the zero:
5x = 5y

Divide each side by '5'.
x = y

Simplifying
x = y

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