#### Answer

$\dfrac{4}{2x+3}$

#### Work Step by Step

When subtracting two fractions with common denominators, we subtract the numerators and copy the denominator. Therefore, the given expression, $
\dfrac{9}{2x+3}-\dfrac{5}{2x+3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{9-5}{2x+3}
\\\\=
\dfrac{4}{2x+3}
.\end{array}