If any software is capable of conversion of .lpk and .gdbtablx files it would be ArcGIS software from which both of these file type originate. Whenever this conversion is possible, or even useful could not be reliably verified.
Convert ArcGIS layer package file to ArcGIS geodatabase file.
We found one software available in the database for this conversion.
Microsoft Windows software - convert lpk to gdbtablx on Windows
A group of GIS (geographic information system) applications
Convert from lpk file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.