#### Answer

{-3}

#### Work Step by Step

8x=-24
Step 1: Divide both the sides by 8
$\frac{8x}{8}$ = $\frac{-24}{8}$
Step 2: Simplify
x= -3
Now we check the proposed solution, -3, by replacing x with -3 in the original equation.
Step 1: the original equation 8x=-24
Step2: Substitute -3 for x
8.(-3) = -24
Step 3: Solve 8.(-3)=-24
-24 =-24
Since the check results in true statement, we conclude that the solution set of the given equation is {-3}.