2(x+y)=x-y

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Solution for 2(x+y)=x-y equation:


Simplifying
2(x + y) = x + -1y
(x * 2 + y * 2) = x + -1y
(2x + 2y) = x + -1y

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

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

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

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

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

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

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

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

Simplifying
x = -3y

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