2(x-2)=x

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

Simplifying
2(x + -2) = x

Reorder the terms:
2(-2 + x) = x
(-2 * 2 + x * 2) = x
(-4 + 2x) = x

Solving
-4 + 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.
-4 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = x + -1x

Combine like terms: x + -1x = 0
-4 + 1x = 0

Add '4' to each side of the equation.
-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 0 + 4
1x = 0 + 4

Combine like terms: 0 + 4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4