Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set - Page 87: 62

$x=-\dfrac{6}{7}$

Multiplying both sides by $ -3 $, then the solution to the given equation, $ \dfrac{2}{7}=\dfrac{x}{-3} $, is \begin{array}{l}\require{cancel} -3\cdot\dfrac{2}{7}=\dfrac{x}{-3}\cdot(-3) \\\\ \dfrac{-6}{7}=\dfrac{-3x}{-3} \\\\ -\dfrac{6}{7}=x \\\\ x=-\dfrac{6}{7} .\end{array}