#### Answer

$x=\dfrac{15}{2}$

#### Work Step by Step

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $
\dfrac{x}{3}=\dfrac{5}{2}
,$ is
\begin{array}{l}\require{cancel}
x(2)=3(5)
\\\\
2x=15
\\\\
x=\dfrac{15}{2}
.\end{array}