(X-4)3+6=57

Solution for (X-4)3+6=57 equation:

Simplifying
(X + -4) * 3 + 6 = 57

Reorder the terms:
(-4 + X) * 3 + 6 = 57

Reorder the terms for easier multiplication:
3(-4 + X) + 6 = 57
(-4 * 3 + X * 3) + 6 = 57
(-12 + 3X) + 6 = 57

Reorder the terms:
-12 + 6 + 3X = 57

Combine like terms: -12 + 6 = -6
-6 + 3X = 57

Solving
-6 + 3X = 57

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 3X = 57 + 6

Combine like terms: -6 + 6 = 0
0 + 3X = 57 + 6
3X = 57 + 6

Combine like terms: 57 + 6 = 63
3X = 63

Divide each side by '3'.
X = 21

Simplifying
X = 21