Answer
$x=-6$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
6+\dfrac{7}{2}x=-15
$, is
\begin{array}{l}
\dfrac{7}{2}x=-15-6
\\\\
\dfrac{7}{2}x=-21
\\\\
x=-21\cdot\dfrac{2}{7}
\\\\
x=-6
.\end{array}