2(x-1)=x

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

Simplifying
2(x + -1) = x

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2