Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 22

$x=\dfrac{7}{3}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 9+6x=23 ,$ is \begin{array}{l}\require{cancel} 6x=23-9 \\\\ 6x=14 \\\\ x=\dfrac{14}{6} \\\\ x=\dfrac{\cancel{2}\cdot7}{\cancel{2}\cdot3} \\\\ x=\dfrac{7}{3} .\end{array}