x+y=2(x-1)

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Solution for x+y=2(x-1) equation:


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

Reorder the terms:
x + y = 2(-1 + x)
x + y = (-1 * 2 + x * 2)
x + y = (-2 + 2x)

Solving
x + y = -2 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
x = 2 + y

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