3y+x=2y-3x

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


Simplifying
3y + x = 2y + -3x

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 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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