#### Answer

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

#### Work Step by Step

When subtracting two fractions with common denominators, we subtract the numerators and copy the denominator. Therefore, the given expression, $
\dfrac{5x+7}{x+3}-\dfrac{x+11}{x+3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{5x+7-(x+11)}{x+3}
\\\\=
\dfrac{5x+7-x-11}{x+3}
\\\\=
\dfrac{4x-4}{x+3}
.\end{array}