Broken AND locked iPhone screen and and iTunes won't connect without putting in passcode?

So I broke my screen on my iPhone 5 and half of the screen won't work. My passcode can't be put in because, like i said, half the screen is not working. So after trying to put it in and failing, my screen says "iPhone is disabled. Connect to iTunes." But when I connect it to iTunes, iTunes won't connect unless my passcode is put in because my phone is locked. It's contradicting what it's saying and what it wants me to do. What to do or how to fix DIY ATM?

Yes, I know I need to go get it fixed or get a new phone but can't ATM and trying to expand the life just a bit longer until I can get a new phone.

Any help? If so, thanks in advance.

Enter DFU mode:
Plug your device into your computer with a USB cable.
Turn off the device.
Hold the Power button for 3 seconds.
Hold the Home and Power buttons for 10 seconds.
Release the Power button but keep holding the Home button.
After about 15 seconds you will be alerted by iTunes saying that it has detected a device in Recovery Mode.

Then simply do a restore in iTunes, this will remove all content unless you made a backup before hand. This is the only way to remove the disable lock.