Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 25

$x=\dfrac{16}{3}$

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $ -7-6x=9-9x ,$ is \begin{array}{l}\require{cancel} -6x+9x=9+7 \\\\ 3x=16 \\\\ x=\dfrac{16}{3} .\end{array}