Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set - Page 87: 75

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

Using properties of equality, the solution to the given equation, $ -12x=14 $, is \begin{array}{l}\require{cancel} \dfrac{-12x}{-12}=\dfrac{14}{-12} \\\\ x=\dfrac{14}{-12} \\\\ x=-\dfrac{\cancel{2}\cdot7}{\cancel{2}\cdot6} \\\\ x=-\dfrac{7}{6} .\end{array}