Answer
$\left( -\infty,\infty \right)$
Work Step by Step
Using the properties of inequality, the expression $
8(x+3)\le 7(x+5)+x
$ simplifies to
\begin{array}{l}
8x+24\le 7x+35+x\\
8x+24\le 8x+35\\
8x-8x\le 35-24\\
0\le 11 \text{ (TRUE)}
.\end{array}
Since the solution above ended with a TRUE statement, then the solution set is the set of all real numbers. In interval notation, the solution set is $
\left( -\infty,\infty \right)
$.