2x-2y=3x+2

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


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

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

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

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

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

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

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

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

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

Simplifying
x = -2 + -2y

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