Not trying to sound like a know it all, but, any time I buy a used bike (Jap, Euro, etc), I always check the valves.
I am not saying that's your hard start problem, but at least eliminate that
from possibilities.
I KNOW on my last 450, the e-start would not get the bike started until I kicked
over a few times. It was all due to tight valves. Seriously.
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2011 Husaberg TE 300
2002 640 LC4e
Past Rides
'03 KTM 450 EXC (SOLD)
'01 Honda XR650R (SOLD)
'98 Honda XR600R (SOLD)
'95 KTM 620 RXC (SOLD)
'88 Yamaha TT600 (SOLD)
'86 Yamaha XT 350 (SOLD)
'84 Yamaha IT465 (STOLEN)
'83 Kawasaki KDX 450 (SOLD)
'83 Honda CB1000 Custom (SOLD)
'82 Kawasaki KDX 400 (SOLD)
'77 Yamaha DT200 (SOLD)
'70 Honda CT70 (SOLD)