Answer
$\dfrac{-13}{2}$
Work Step by Step
Using order of operations, the expression $
5(-2)-(-3)-\dfrac{1}{6}+\dfrac{2}{3}
$ simplifies to
\begin{array}{l}
-10+3-\dfrac{1}{6}+\dfrac{2}{3}
\\\\=
-7-\dfrac{1}{6}+\dfrac{2}{3}
\\\\=
\dfrac{6(-7)-1(1)+2(2)}{6}
\\\\=
\dfrac{-42-1+4}{6}
\\\\=
\dfrac{-39}{6}
\\\\=
\dfrac{-13}{2}
.\end{array}
