4x+y=3x-2y

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Solution for 4x+y=3x-2y equation:


Simplifying
4x + y = 3x + -2y

Solving
4x + 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.
4x + -3x + y = 3x + -3x + -2y

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

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

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

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

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

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

Simplifying
x = -3y

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