First do the products on both sides of the equation
[tex]\begin{gathered} -8(p+2)+p=4(p+3)+5 \\ -8p-16+p=4p+12+5 \end{gathered}[/tex]Then, add all like terms
[tex]-7p-16=4p+17[/tex]Now add 16 to both sides of the equation
[tex]\begin{gathered} -7p-16+16=4p+17+16 \\ -7p=4p+33 \end{gathered}[/tex]Now subtract 4p from both sides of the equation
[tex]\begin{gathered} -7p-4p=4p+33-4p \\ -11p=33 \end{gathered}[/tex]
Finally divide by -11 to both sides of the equation
[tex]\begin{gathered} -\frac{11p}{-11}=\frac{33}{-11} \\ \text{ Therefore,} \\ p=-3 \end{gathered}[/tex]