Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 59

$x=-\dfrac{5}{14}$

Multiplying both sides by the $LCD= 12 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{5}{12}=\dfrac{7}{6}x ,$ is \begin{array}{l}\require{cancel} 1(-5)=2(7x) \\\\ -5=14x \\\\ -\dfrac{5}{14}=x \\\\ x=-\dfrac{5}{14} .\end{array}