Hey there,
Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).
So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)
Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7). 
    -3
+   7
______
     4
Let's bring that "x" back, and the answer would be 4x for a while.
So far, 4x is the answer.
_____________________________________________________________
Now, Let's work on the other side.
We are talking about (<span>-10-2)
    -10
-      2
_______
</span>     -12
So, by solving the answer to (-10-2), we got -12.
So, let's determine what is greater 
. . . . . 

-12 or 4.
-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.
Your correct answer would look like
 . . . 
<span>(-3x+7) 
> (-10-2)
</span>
I really hope this helps you alot.
~Jurgen