First, because the 16 on the right of the inequality symbol is positive you can set the problem into 2 different ones.
8x+16>16 and 8x+16>-16
from there you subtract 16 on both equations
then it would be 8x>0 and 8x>-32
then you would divide by 8 on both equations
then it would be x>0 and x>-4
that's the end