(X-2)3=(X-1)2

Solution for (X-2)3=(X-1)2 equation:

Simplifying
(X + -2) * 3 = (X + -1) * 2

Reorder the terms:
(-2 + X) * 3 = (X + -1) * 2

Reorder the terms for easier multiplication:
3(-2 + X) = (X + -1) * 2
(-2 * 3 + X * 3) = (X + -1) * 2
(-6 + 3X) = (X + -1) * 2

Reorder the terms:
-6 + 3X = (-1 + X) * 2

Reorder the terms for easier multiplication:
-6 + 3X = 2(-1 + X)
-6 + 3X = (-1 * 2 + X * 2)
-6 + 3X = (-2 + 2X)

Solving
-6 + 3X = -2 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-6 + 3X + -2X = -2 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-6 + 1X = -2 + 2X + -2X

Combine like terms: 2X + -2X = 0
-6 + 1X = -2 + 0
-6 + 1X = -2

Add '6' to each side of the equation.
-6 + 6 + 1X = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 1X = -2 + 6
1X = -2 + 6

Combine like terms: -2 + 6 = 4
1X = 4

Divide each side by '1'.
X = 4

Simplifying
X = 4