How can I install my installed linux on another hardware too?

Have a look at Remastersys. From their FAQ :

Remastersys is a tool that can be used to do 2 things with an existing Klikit or Ubuntu or derivative installation.

  1. It can make a full system backup including personal data to a live cd or dvd that you can use anywhere and install.

  2. It can make a distributable copy you can share with friends. This will not have any of your personal user data in it.

The first option seems to be what you want.