If you've gone through that many different distro's installations and none of them would boot, assuming you didn't do something wrong at the install, it sounds like it may be an issue with the hardware itself, or a problem with burning the .iso file maybe...
Also, from what I can tell, Slax doesn't have an easy installer - so how are you trying to install it, and to what? A hard disk install of slax is not reccomended - it is designed as an exclusively live distribution. a hard disk install is possible, but you may want to use a different distro for this.
if it's to a cd simply download the .iso file and burn it to the CD with something like K3b
if to a usb, look here for simple instructions: http://www.slax.org/documentation_install_slax.php
if you are trying for a hdd install look here: http://gr8idea.info/os/tutorials/slax/install.html
or here: http://thanhsiang.org/faqing/node/75
as I said I do not recommend a hdd install of slax.
If you have really failed to install 10 distributions, though, I would see if your hardware is functioning properly, and make sure you're following install instructions to the letter.