Answer
$x=-\dfrac{7}{2}$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
3(x+1)-2=8-5(x+7)
$, is
\begin{array}{l}\require{cancel}
3(x)+3(1)-2=8-5(x)-5(7)
\\\\
3x+3-2=8-5x-35
\\\\
3x+5x=8-35-3+2
\\\\
8x=-28
\\\\
x=-\dfrac{28}{8}
\\\\
x=-\dfrac{\cancel{4}\cdot7}{\cancel{4}\cdot2}
\\\\
x=-\dfrac{7}{2}
.\end{array}
