To solve the equation, we need to isolate the variable x.

First, let's simplify the equation:

32 - (x^2 - 8) / 3 = 8

To remove the fraction, we can multiply both sides of the equation by 3:

3 * (32 - (x^2 - 8) / 3) = 3 * 8

This simplifies to:

96 - (x^2 - 8) = 24

Next, let's distribute the negative sign:

96 - x^2 + 8 = 24

Combine like terms:

104 - x^2 = 24

Now, let's move the constant term to the other side of the equation:

-x^2 = 24 - 104

Simplify:

-x^2 = -80

To solve for x, we can multiply both sides of the equation by -1 to get rid of the negative sign:

x^2 = 80

Finally, we can take the square root of both sides to solve for x:

x = ±√80

Therefore, the solutions for x are x = √80 and x = -√80.