Same for every engine doesn't start question....
Does it try to start???
Did you recently have the camshaft out?
I'm tired... so this might not be as universal or complete as it could be, here's what you get. LOL
1.) Make sure there is a spark. Take out plug and put wire back on. Lay against the block and pull the cord. Look for spark. If no spark then check ground wire, (EDIT: also Kill switch wires), then coil gap, then try a new plug. If still no spark, then maybe need a new coil.
2.) Make sure fuel is getting to the carb and in the bowl. Check the line. Check the bowl. EDIT: Check the filter.
3.) If all the above seem ok, You can spray carb cleaner or starting fluid though the carb with the slide open and try to start it. If it starts and dies or tries to start, then you probably need to clean the carb (EDIT: or lines, tank, or fuel filter... because you have identified a fuel delivery issue).
4.) If it still doesn't try to start, take off the valve cover and make sure everything looks hunky-dory in there. Is the lash set correctly?
5.) If can't find anything wrong and still won't start...Take off the flywheel and check for a sheered flywheel key.... The timing is probably off due to a sheered key.
6.) If key looks good.... Check compression. Can do this earlier is the diagnosing too. Pull spark Plug an put thumb on hole. Pull cord. Check for pressure. ... Compression test. Leakdown Test. New Head gasket. Hone Cylinder. New Rings. Valve Job.....