I had the same problem, the Epson download center say for the ET-27xx there is no linux support or driver. (so the link given above is of no use for this type and linux) However, at our office we have the Epson ET-4750. I installed the scan driver for this one, and guess what.... it works for the ET-27xx as well!! so just see here:
http://support.epson.net/linux/en/epsonscan2.php this works fine to scan with both devices (the 64 bits for ubuntu i used, myself using ubuntu 20.04) (note there is an epsonscan 3, but this does not work for me).
But you first need to install this dependency: sudo apt-get install lsb
and than install the epson printer utilities: just type et-4750 in here:
http://download.ebz.epson.net/dsc/search/01/search/searchModuleFromResult
i fisrt used the epson-printer-utility_1.1.1-1lsb3.2_i386.deb
howver, even after installing it's dependency, it kept gibving me this erro (note: you have to use command line to fix all this):
dependency problems prevent configuration of epson-printer-utility:i386:
epson-printer-utility:i386 depends on lsb (>= 3.2).
the proper version is the .rpm .... so you need ot install alien to convert from rpm to .deb
sudo apt-get install alien
sudo alien epson-printer-utility-1.1.1-1lsb3.2.x86_64.rpm (note, use the name of the rpm you downloaded)
after all this, the epson scan2 program still did not, work, bu my installed document scanner did work.....
