2007 FLHX gets to half of a tank and acts like its running out.

Make sure batt is 12.6v no less. Carb can b cleand w BG. Compression cud b weak

Sounds like the reserve lever on the petcock is not being used, Your petcock should have 3 positions, OFF , ON , RESERVE. Learn how to operate it!!
Reserve will allow you to run a few more miles to get to a gas station!!

Tube inside of tank has a hole in it.

Does the bike run if you give it throttle past idle? The motor should accelerate and gain RPM's when doing so. If it does and gains RPM's but is sluggish in response, I would check to make sure it has good gas flow. Check flow off the petcock, if good, check gas filter on the motor side. If still not running correctly, I would check the air cleaner inside to make sure some critter didn't get in there and make a nest or something. Beyond those ideas, I would bring it to a profession shop or a friend in the know.

If the bike is equipped with a carburetor, check the fuel flow from the petcock. In 1996, Harley went to a vacuum operated fuel petcock on the fuel tank. The diaphragm gets a hole in it and it will no longer open and allow fuel to flow. Pull the fuel line from either the petcock or the carb. Spin the engine with the starter and watch the fuel flow. If it's fuel injected, I'm sorry but I can't help you with that one. I know nothing about Harley's fuel injection.

Good Luck
Steve

If the bike is equipped with a carburetor, check the fuel petcock. In 1996, Harley went to a vacuum operated fuel petcock. It has a diaphragm in the backside of it that can develop a hole in it. When this happens, no fuel gets to the carb or not enough. To test, pull the hose off the carb and put the end of it in a catch can. Spin the engine with the starter and watch for fuel coming out of the hose. Or, if you have a hand operated vacuum pump, plug the hose from it onto the nipple on the backside of the petcock. Apply vacuum and watch for fuel flow. You can drain the tank and remove the petcock from the tank. Take the square plate off the backside of the petcock. Notice how the parts come out of the petcock. Hold the diaphragm up to a light and gently stretch it looking for a hole. You can buy a replacement diaphragm at your local H-D dealership. Personally, I'd change the petcock to a high quality manually operated one. You'll have to turn your fuel on and off manually, old school style. But, you won't have anymore problems with it.

Good Luck
Steve

Fuel petcock position depends entirely on what you're doing with your bike at the time.

In normal use, the fuel petcock should be set to the "on" position and left there. In that position, gasoline will be drawn from the tank only when the engine is running and generating vacuum. This prevents overfilling the carbs when the bike sits.

When you're riding the bike and it starts to sputter, it's time to move the petcock to the "reserve" position so that you can use the last few drops in the tank (on a 650 special, this was either .3 or .5 gallons--can't remember which off the top of my head) to nurse your bike to a gas station. Once you've filled the tank, move the petcock back to "on." The bike will still run fine if you keep the petcock in the reserve position, but when it starts to run low on gas--well, you won't have that emergency reserve to get yourself to the gas station.

If you've managed to run the bike out of gas completely, or if you are getting the bike ready for service after having drained the carbs for the winter, you'll need to move the petcock to the "prime" position for a few minutes. This by-passes the vacuum line cutoff mechanism and lets gasoline flow until the carb floats shut off the fuel valve (this is also how all older motorcycle fuel petcocks operated). A sticky float or poorly sealing float valve in the carb can, however, cause far too much gasoline to drain into the carbs (and into the crankcase, if you're particularly unlucky), which is why you should not leave the petcock in the prime position for an extended period of time.

Some Yamaha XS650 motorcycles (can't tell if that's the model you have) have a tank with two fuel petcocks, one on each side, to fuel each carb. If you have a tank with this setup, be aware that setting one fuel petcock to "prime" will affect both cylinders, as there's a crossover tube to equalize fuel levels between the carbs. Also, for reasons I could never figure out, on one XS650 I owned, moving either petcock to "prime" permitted fuel to flow on a gravity feed out of both petcocks simultaneously. I could never figure out exactly why it was doing that.