I've got a bike running 9 gears in the back 3 in the front. This is the first bike I've been working on so it has some history. Also, I made plenty of mistakes while learning how to take care of a bike.
The bike is running a Shimano Deore LX as front derailleur over a firex crankset. Over time I disassembled the bike as a whole and put it back together. Also, the bottom bracket was replaced.
Now, the problem: When I first started fixing my bike I removed the gear switcher and replaced the bottom bracket. When I installed everything again I had trouble adjusting the front derailleur. Back then I thought I was doing something wrong and gave up on a perfect adjustment. However, coming back to this bike many years later I can't get it right either.
The problem is that the derailleur is not having enough travel to comfortable reach the outer sprocket. I've unscrewed the H screw completely. The only way to kind of run the bike is to put crazy pressure on the gear cable but that has led to a broken cable every year.
The only reasons I can think of for not reaching the outer sprocket are two things:
First, the chain line could have gotten bigger. Maybe the bottom bracket replacement has made the chain line bigger and hence the derailleur can't reach it. However, I've no clue how that should have happened. I still have the old one and it's as wide as the current one.
Second, maybe the derailleur has failed somehow. I've inspected it but it seems to work as normal. Maybe I'm missing something.
I'm out of ideas. What could I try next?
P.S. I know the gears are bad but I don't want to put money in new ones until this problem is fixed.