Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 54

$x=\dfrac{1}{3}$

Multiplying both sides by the $LCD= 36 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{5x}{12}=\dfrac{5}{36} ,$ is \begin{array}{l}\require{cancel} 3(5x)=1(5) \\\\ 15x=5 \\\\ x=\dfrac{5}{15} \\\\ x=\dfrac{1}{3} .\end{array}