Hello Plamen,

Yes, this is permissible under the terms of your WebSite X5 licence agreement, provided that you uninstall the software from your old computer as you intend to do.  Please see this extract, especially the phrases which I have highlighted in bold:

1.1 SINGLE LICENCE
The term means a SOFTWARE that may be installed and used only by a single USER on a maximum of 2 computers at any one time. Consequently, the SOFTWARE must not be installed, displayed, shared or used concomitantly on more computers.

2. INSTALLATION

Together with the SOFTWARE you will receive a Licence Key which you have to enter during installation. An online activation tailored for your hardware is also needed.
With the Licence Key you can activate the SOFTWARE up to two times, should this to be necessary due to hardware exchange. After this, the PUBLISHER will make new activation codes available for your new hardware upon request. In both cases it is prerequisite that the SOFTWARE is removed from your old hardware.

The software should activate automatically upon re-installation, but if you experience any difficulty then you can revert to support here at the forum, where the Incomedia staff will readily assist you.

Kind regards,

Paul