Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set - Page 87: 69

$x=-\dfrac{5}{2}$

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}