#### Answer

$\left\{ x| x=-\dfrac{5}{2} \right\}$

#### Work Step by Step

Using the properties of equality, the given equation, $
-(x+4)+2=3x+8
,$ is equivalent to
\begin{array}{l}\require{cancel}
-x-4+2=3x+8
\\\\
-x-3x=8-2+4
\\\\
-4x=10
\\\\
x=\dfrac{10}{-4}
\\\\
x=-\dfrac{\cancel{10}^5}{\cancel{4}^2}
\\\\
x=-\dfrac{5}{2}
.\end{array}
Hence, the solution is $
\left\{ x| x=-\dfrac{5}{2} \right\}
.$