Answer
{$\frac{-1}{4}$}
Work Step by Step
-8x = 2
Step 1: Divide both the sides by -8
$\frac{-8x}{8}$ = $\frac{2}{-8}$
Step 2: Simplify
x= $\frac{-1}{4}$
Now we check the proposed solution, $\frac{-1}{4}$, by replacing x with $\frac{-1}{4}$ in the original equation.
Step 1: the original equation -8x = 2
Step2: Substitute $\frac{-1}{4}$ for x
-8.($\frac{-1}{4}$) = 2
Step 3: Solve -8. ($\frac{-1}{4}$) = 2
2=2
Since the check results in true statement, we conclude that the solution set of the given equation is {$\frac{-1}{4}$}