3(x+y)=2y-x

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


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

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

Solving
3x + 3y = -1x + 2y

Solving for variable 'x'.

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

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

Combine like terms: 3x + x = 4x
4x + 3y = -1x + x + 2y

Combine like terms: -1x + x = 0
4x + 3y = 0 + 2y
4x + 3y = 2y

Add '-3y' to each side of the equation.
4x + 3y + -3y = 2y + -3y

Combine like terms: 3y + -3y = 0
4x + 0 = 2y + -3y
4x = 2y + -3y

Combine like terms: 2y + -3y = -1y
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y

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