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

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