2x-y-3=x+y

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 3 + 2y

Simplifying
x = 3 + 2y

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