6x+y=3x-2y

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Solution for 6x+y=3x-2y equation:


Simplifying
6x + y = 3x + -2y

Solving
6x + y = 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.
6x + -3x + y = 3x + -3x + -2y

Combine like terms: 6x + -3x = 3x
3x + y = 3x + -3x + -2y

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

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

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

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

Divide each side by '3'.
x = -1y

Simplifying
x = -1y

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