Yeah I too found literally no results when searching for "Fujitsu Lifebook A3130 64 bit linux" and the results for "Fujitsu Lifebook A3130 linux" weren't all that impressive either, so I'd be a little gun shy to try this out by jumping in 100%.
What to do?
I think I'd rather do the following to start, which is what I do when ever I'm suspicious of getting full support of Linux under hardware X.
First, I'll typically start out with the live DVD/CD version of a distro to confirm that that is working 100% to my liking, prior to doing a bare metal installation.
Next, I'll use a tool such as GParted, to squeeze my current installation down enough so that there is enough free room to do a bare metal install on the system. This route can be a bit more time consuming but leaves me with an exit plan, if/when the OS I'm attempting to install doesn't work out as planned.
If the above testing works out to my liking, then I'll make the commitment to fully install the OS, this time devoting the entire HDD to the OS if that's the direction I'm aiming to go.