(x-3)2=500

Solution for (x-3)2=500 equation:

Simplifying
(x + -3) * 2 = 500

Reorder the terms:
(-3 + x) * 2 = 500

Reorder the terms for easier multiplication:
2(-3 + x) = 500
(-3 * 2 + x * 2) = 500
(-6 + 2x) = 500

Solving
-6 + 2x = 500

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 = 500 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 500 + 6
2x = 500 + 6

Combine like terms: 500 + 6 = 506
2x = 506

Divide each side by '2'.
x = 253

Simplifying
x = 253