(X-3)2=3(x-3)

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

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

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

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

Reorder the terms:
-6 + 2X = 3(-3 + x)
-6 + 2X = (-3 * 3 + x * 3)
-6 + 2X = (-9 + 3x)

Solving
-6 + 2X = -9 + 3x

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 + 2X = -9 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 2X = -9 + 6 + 3x
2X = -9 + 6 + 3x

Combine like terms: -9 + 6 = -3
2X = -3 + 3x

Divide each side by '2'.
X = -1.5 + 1.5x

Simplifying
X = -1.5 + 1.5x