(x+6)2=32

Solution for (x+6)2=32 equation:

Simplifying
(x + 6) * 2 = 32

Reorder the terms:
(6 + x) * 2 = 32

Reorder the terms for easier multiplication:
2(6 + x) = 32
(6 * 2 + x * 2) = 32
(12 + 2x) = 32

Solving
12 + 2x = 32

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 32 + -12
2x = 32 + -12

Combine like terms: 32 + -12 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10