Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 39

$x=-\dfrac{12}{5}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 29=-7-15x ,$ is \begin{array}{l}\require{cancel} 15x+29=-7\\\\ 15x=-7-29 \\\\ 15x=-36 \\\\ x=\dfrac{-36}{15} \\\\ x=\dfrac{\cancel{3}\cdot(-12)}{\cancel{3}\cdot5} \\\\ x=\dfrac{-12}{5} \\\\ x=-\dfrac{12}{5} .\end{array}