2(x-1)=x+1

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


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

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

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

Solving
-2 + 2x = 1 + x

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

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

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

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

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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