(x-20)2=(y-20)2

Solution for (x-20)2=(y-20)2 equation:

Simplifying
(x + -20) * 2 = (y + -20) * 2

Reorder the terms:
(-20 + x) * 2 = (y + -20) * 2

Reorder the terms for easier multiplication:
2(-20 + x) = (y + -20) * 2
(-20 * 2 + x * 2) = (y + -20) * 2
(-40 + 2x) = (y + -20) * 2

Reorder the terms:
-40 + 2x = (-20 + y) * 2

Reorder the terms for easier multiplication:
-40 + 2x = 2(-20 + y)
-40 + 2x = (-20 * 2 + y * 2)
-40 + 2x = (-40 + 2y)

Add '40' to each side of the equation.
-40 + 40 + 2x = -40 + 40 + 2y

Combine like terms: -40 + 40 = 0
0 + 2x = -40 + 40 + 2y
2x = -40 + 40 + 2y

Combine like terms: -40 + 40 = 0
2x = 0 + 2y
2x = 2y

Solving
2x = 2y

Solving for variable 'x'.

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

Divide each side by '2'.
x = y

Simplifying
x = y