Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 60

$x=-\dfrac{7}{9}$

Multiplying both sides by the $LCD= 24 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{7}{24}=\dfrac{3}{8}x ,$ is \begin{array}{l}\require{cancel} 1(-7)=3(3x) \\\\ -7=9x \\\\ -\dfrac{7}{9}=x \\\\ x=-\dfrac{7}{9} .\end{array}