If you see error code 0x80070005 on windows updates, follow the steps here

Error Code 0x80070005 is common for all the Windows Operating systems when you try to install the updates. It usually appears when Windows 10 or Windows 7 update system is broken or there are network related glitches.

Reasons for This Error Code 0x80070005:
Usual causes for this error code 0x80070005 are communication failure over the internet with Microsoft update servers.