Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=-\dfrac{5}{2}$
Using the properties of equality, the solution to the given equation, $-8.2x=20.5$, is \begin{array}{l}\require{cancel} \dfrac{-8.2x}{-8.2}=\dfrac{20.5}{-8.2} \\\\ x=\dfrac{\cancel{4.1}\cdot5}{\cancel{4.1}\cdot(-2)} \\\\ x=-\dfrac{5}{2} .\end{array}