(x+3)2=(x-5)2

Solution for (x+3)2=(x-5)2 equation:

Simplifying
(x + 3) * 2 = (x + -5) * 2

Reorder the terms:
(3 + x) * 2 = (x + -5) * 2

Reorder the terms for easier multiplication:
2(3 + x) = (x + -5) * 2
(3 * 2 + x * 2) = (x + -5) * 2
(6 + 2x) = (x + -5) * 2

Reorder the terms:
6 + 2x = (-5 + x) * 2

Reorder the terms for easier multiplication:
6 + 2x = 2(-5 + x)
6 + 2x = (-5 * 2 + x * 2)
6 + 2x = (-10 + 2x)

Add '-2x' to each side of the equation.
6 + 2x + -2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 0 = -10 + 2x + -2x
6 = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 = -10 + 0
6 = -10

Solving
6 = -10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.