Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 53

$x=\dfrac{1}{2}$

Multiplying both sides by the $LCD= 20 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{3x}{10}=\dfrac{3}{20} ,$ is \begin{array}{l}\require{cancel} 2(3x)=1(3) \\\\ 6x=3 \\\\ x=\dfrac{3}{6} \\\\ x=\dfrac{1}{2} .\end{array}