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

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Solution for 2x+y=2y+3x-1 equation:


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

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

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

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

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

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

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

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

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

Simplifying
x = 1 + -1y

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