Answer
expression;
$\dfrac{8}{15}x+\dfrac{13}{2}$
Work Step by Step
Without an equal sign, the given is an $\text{
expression
}.$
By combining like terms, the given expression, $
\dfrac{1}{3}x+\dfrac{1}{5}x-\dfrac{1}{2}+7
,$ simplifies to
\begin{array}{l}\require{cancel}
\left( \dfrac{1}{3}x+\dfrac{1}{5}x \right)+\left(-\dfrac{1}{2}+7\right)
\\\\=
\left( \dfrac{5}{15}x+\dfrac{3}{15}x \right)+\left(-\dfrac{1}{2}+\dfrac{14}{2}\right)
\\\\=
\dfrac{8}{15}x+\dfrac{13}{2}
.\end{array}
