Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 40

$x=-\dfrac{27}{7}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 49=-5-14x ,$ is \begin{array}{l}\require{cancel} 14x+49=-5\\\\ 14x=-5-49 \\\\ 14x=-54 \\\\ x=\dfrac{-54}{14} \\\\ x=\dfrac{\cancel{2}\cdot(-27)}{\cancel{2}\cdot7} \\\\ x=\dfrac{-27}{7} \\\\ x=-\dfrac{27}{7} .\end{array}