Elementary Algebra

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