Answer
$-\frac{1}{8}$
Work Step by Step
$\frac{1}{x}=-8$
Multiply by $x$ on both sides.
$\begin{align}
& \frac{1}{x}\times x=\frac{-8}{1}\times x \\
& 1=-8x
\end{align}$
Divide by $\left( -8 \right)$ on both sides.
$\begin{align}
& 1=-8x \\
& \frac{1}{-8}=\frac{-8x}{-8} \\
& -\frac{1}{8}=x
\end{align}$
Thus, the required value is $x=-\frac{1}{8}$.
