Final solution for me:
- Uninstall Microsoft mouse and keyboard center which is for me totally unusable and can´t properly install correct driver for my Sidewinder X5 mouse (it Install HID compliant mouse driver) - it is not able to recognize my mouse even when I manually install driver for my mouse from the drivers provided with installation package (I installed Microsoft SideWinder Mouse (Mouse and Keyboard center) driver).
- Download IntelliPoint 8.2 (https://www.microsoft.com/accessories/sk-sk/d/sidewinder-x5-mouse)
- Install it - it will automatically install correct driver (Microsoft SideWinder Mouse (InelliPoint))
- Then run Microsoft Mouse software just installed and there you finally can set all your buttons.
Thanks to me that I was able to fix my problem with Microsoft software.
Hope it will be helpful also for other users.
This is not proper answer to my question because I can´t set-up my mouse in Microsoft Mouse and Keyboard Center but I´m finally at least able to do it.