I am going to recommend you download a printer driver from Epson; and if you do that, I would recommend you open your PRINTERS folder before that, and delete any existing
SX435 icons there; as you say they do not work.
So if you go ahead, this link Drivers & Downloads | Epson is through the Epson website Download Center | EPSON when I search on
SX435: Epson only list a driver for the 430 and they call it Full Feature; for a 64bit system, one downloads the
epson-inkjet-printer-201105w_1.0.0-1lsb3.2_amd64.deb and for 32bit (ubuntu), the
If you click to download, and select the OPEN option from the dialogue, gdebi installer or the software centre will then INSTALL the file; and hopefully run a setup in the background so a configured printer option should be ready and waiting
EDIT: since I answered above, you have edited your first post; please tell us "Printer is turned on and connected to my laptop" how it is connected