To solve the equation, we can start by simplifying the expression on the left side:

32 - (x^2 - 6)/3 = 22

First, let's simplify the expression inside the parentheses:

(x^2 - 6)/3 = 32 - 22

(x^2 - 6)/3 = 10

Next, we can multiply both sides of the equation by 3 to eliminate the fraction:

3 * (x^2 - 6)/3 = 10 * 3

x^2 - 6 = 30

Now, we can add 6 to both sides of the equation:

x^2 - 6 + 6 = 30 + 6

x^2 = 36

Finally, we can take the square root of both sides of the equation:

√(x^2) = √36

x = ±6

Therefore, the solutions to the equation are x = 6 and x = -6.