Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

I have a feeling I might be wrong, but this is what I came up with...

-12 = -5 | x + 1| + 3                         
+ 5   +5             + 5

-7 = | x + 1| + 8
-8                  -8 

-15 = | x + 1|

-15 = x + 1                         15 = x + 1
-1           -1                         -1          -1
        OR    
-16 = x                               14 = x

Your two values are -16 and 14 if I'm correct.