If you are balancing an equation, the general principle is just to work across the equation, checking one thing at a time, but leaving anything which occurs in several places on the same side of the equation until the end. That's the Cl in this case.
So in the original equation: FeCl
3 + H
2S --> FeCl
2 + HCl + S
and ignoring the chlorine for the time being, the only thing wrong is the hydrogen. Put that right:
FeCl
3 + H
2S --> FeCl
2 + 2HCl + S
That wrecks the chlorines of course.
In most simple equations it is fairly obvious where to go next, but that's not true in this instance. In that case, try a bit of trial and error. There is no way this can work with the FeCl
3 as it stands - so see what happens if you have two of them:
2FeCl
3 + H
2S --> FeCl
2 + 2HCl + S
Now correct the irons on the right hand side by having 2FeCl
2. Check the chlorines (and everything else just to be sure). How does that look?
2FeCl
3 + H
2S --> 2FeCl
2 + 2HCl + S
Balancing equations by trial and error isn't a very good way of doing them. For redox reactions like this one (ones involving reduction and oxidation), there are better ways which will let you balance seriously difficult equations which would make this one look very easy! But this needs you to have a good understanding of oxidation and reduction, and a knowledge of half-equations. If you are interested, you could explore the Chemguide menu at
http://www.chemguide.co.uk/inorganic/redoxmenu.html , but if this is beyond the level you are working at, forget it for now.