(x-3)2=x

Solution for (x-3)2=x equation:

Simplifying
(x + -3) * 2 = x

Reorder the terms:
(-3 + x) * 2 = x

Reorder the terms for easier multiplication:
2(-3 + x) = x
(-3 * 2 + x * 2) = x
(-6 + 2x) = x

Solving
-6 + 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.
-6 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = x + -1x

Combine like terms: x + -1x = 0
-6 + 1x = 0

Add '6' to each side of the equation.
-6 + 6 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 0 + 6
1x = 0 + 6

Combine like terms: 0 + 6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6