cs5 install for windows 7 with no disks

if you purchased from adobe.com you can find the installation files at your account (the one used for purchase).  otherwise, register it and see if the files are then available.

Best advice, get new software that's compatible with your new equipment & operating system. 

Computers have changed A LOT since CS5 came out 15 years ago.  Old software was built for XP & Win7, not Win 11 with all the latest bells & whistles.

CS5 REPLACEMENTS

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FREE Acrobat Reader
https://www.adobe.com/acrobat/pdf-reader.html

FREE Online PDF Editor
https://www.adobe.com/acrobat/online/pdf-editor.html\

Paid Acrobat (Standard, Pro or Studio)
https://www.adobe.com/acrobat/pricing/compare-versions.html

Photoshop Elements (3 year license)
https://www.adobe.com/products/photoshop-elements.html

Creative Cloud Annual Photography plan. 
https://www.adobe.com/creativecloud/photography.html

FREE or Paid Adobe Express
https://helpx.adobe.com/express/using/express-overview.html

Creative Cloud Bundles & Single Apps for mobile, web & desktops
https://www.adobe.com/creativecloud/plans.html

Hope that helps.

Did you only activate on the one computer?

Since you didn't deactivate on the laptop, if you currently have it installed on another computer, you will have to deactivate it to install on the new laptop.

Note that you will need to find the same discs so that the serial number matches those files.