Split the expression into two halves of the "sandwich"
Therefore,
-3<x+5------(1) and,
x+5<7------(2)
Solve both halves separately
From (1):
x>-8
From (2):
x<2
Add somemore ham, mayonnaise, ketchup, bacon and lettuce then mash the two halves of the sandwich back together:
New sandwich:
-8<x<2
Tadah, Bon appetit.