This is the third time I have answered this exact same
problem with ONLY the numbers changed.  I merely copied
and pasted this one from the last one and changed the
numbers.  Nothing else was different.  I suspect that
you are the same person.  If you don't understand what's
going on, then tell me about it in the thank-you note.
If you're not studying and trying to learn what this is
all about, then I'm not doing anything but helping you
cheat.  Your teacher will find out you aren't doing
the homework but getting somebody to do it for you.  I'm
here to help you learn, not to help you cheat.  You won't
fool your teacher by cheating on homework.  Teachers
aren't fooled by perfect homework and terrible test 
grades.  I'll do just one more like this in case you're
somebody else, or really just can't get it.  If you can't
then tell me about it in the thank-you note. 

          
          3|x - 4| - 9 = 24
        
Add 9 from both sides

              3|x - 4| = 33

Divide both sides by 3

               |x - 4| = 11

That would be true whether x - 4 = 11 or whether it equals -11.
So we take both cases:

      x - 4 = 11           x - 4 = -11
          x = 15               x = -7

Smaller solution = -7, Larger solution = 15

Edwin