Motorcycle Repair: 1994 gsx idle problem, suzuki gsx 600, filter change


Question
Hey, i hope you are doing good!
my problem is the following:
I bought a 1995 Suzuki Gsx 600 with apparently a 750 engine and 26000 miles! is my first bike and the previous owner let it seat for 6 months when i bought the bike did not run! I pay 300 dollars! still doesn't know if is  a good deal?
i take the bike and tear it down, clean the carburetor with air pressure and carburetor cleaner, I changed the oil and filter, changed the air filter, change the spark plugs, change the brake fluid, after all this new stuff the bike start! and ran but the idle is not constant sometimes goes up and down, sometime when the choke is off the bike stalls , specially when im stopping, today the bike start back firing every time i accelerate, when i start the bike i have to accelerate because it will stall in the first 10 seconds with the choke on!, i try to adjust the idle control on the carburetor but did not fix the problem! so i run out of ideas! if you have something i will really appreciated thank you!  

Answer
I think you need to check those carbs again this is your stalling problem  Check this link on how to clean carbs

http://www.mad-dog-cycle.com/Carb Cleaning.htm

After you get the carbs up to snuff I would have your local shop sink them.After this I think your problems will be over.