(3y-x)+(2x-y)=0

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Solution for (3y-x)+(2x-y)=0 equation:


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

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

Remove parenthesis around (-1x + 3y)
-1x + 3y + (2x + -1y) = 0

Remove parenthesis around (2x + -1y)
-1x + 3y + 2x + -1y = 0

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

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

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

Solving
1x + 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.
1x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
1x + 0 = 0 + -2y
1x = 0 + -2y
Remove the zero:
1x = -2y

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

Simplifying
x = -2y

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