#### Answer

$x=11.6
$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the properties of equality to solve the given equation, $
mx=11.6m
.$
$\bf{\text{Solution Details:}}$
Since it is given that $m\ne0,$ then both sides can be divided by $m.$ That is,
\begin{array}{l}\require{cancel}
mx=11.6m
\\\\
\dfrac{mx}{m}=\dfrac{11.6m}{m}
\\\\
x=11.6
.\end{array}