Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 30

$x=-\dfrac{7}{2}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ -14-6x=7 ,$ is \begin{array}{l}\require{cancel} -6x=7+14 \\\\ -6x=21 \\\\ x=\dfrac{21}{-6} \\\\ x=\dfrac{\cancel{3}\cdot7}{\cancel{3}\cdot(-2)} \\\\ x=\dfrac{7}{-2} \\\\ x=-\dfrac{7}{2} .\end{array}