Answer
$\dfrac{5}{2x}$
Work Step by Step
Using the $LCD=
6x
$, the given expression, $
\dfrac{7}{2x}+\dfrac{5}{6x}
,$
\begin{array}{l}\require{cancel}
\dfrac{3(7)+1(5)}{6x}
\\\\=
\dfrac{10+5}{6x}
\\\\=
\dfrac{15}{6x}
\\\\=
\dfrac{\cancel{3}\cdot5}{\cancel{3}\cdot2x}
\\\\=
\dfrac{5}{2x}
.\end{array}