(x-3)2=2

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

Simplifying
(x + -3) * 2 = 2

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

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

Solving
-6 + 2x = 2

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 = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4