(x-3)3=x

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

Simplifying
(x + -3) * 3 = x

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

Reorder the terms for easier multiplication:
3(-3 + x) = x
(-3 * 3 + x * 3) = x
(-9 + 3x) = x

Solving
-9 + 3x = 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.
-9 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
-9 + 2x = x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = 0

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5