Error Code 0x8007005 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 0x8007005 :
The usual causes for this error code 0x8007005 are communication failure over the internet with Microsoft update servers.

Troubleshooting Steps for Error Code 0x8007005 :
Disable the proxy internet connection and try again to install the update.

The procedure to Disable the Proxy Connection is as Follows:
Open Internet Explorer and click on Tools->Internet Options
Goto Connections and LAN Settings
Check to make sure the Proxy server is disabled.
The second case would be with your Antivirus. There are proxy settings enabled under your settings of any security programs that you may be using. If you cannot find the procedure to stop it, you can ask our techs on chat support to guide you.

Repair the Windows Update Services to fix Error Code 0x8007005 :
Try the Below Steps to Repair Windows Services:
Repairing Windows update services is not possible like you repair any windows apps from the add/remove programs. There is a procedure that you need to follow through command lines.

This requires the user to have administrator rights on his computer. As per the Microsoft set of rules defined on various Knowledgebase articles, the steps are simplified as mentioned here to reset your windows update services.