If it’s a desktop, you can remove the socket assembly and bring it to a computer or electronics store and get a new one to replace it. With a laptop, I recommend you hire a skilled technician to replace it. Big Box computer store have a technical department with people who can do it but that is the more costly option.

It is a desktop, but there is no obvious way to remove the socket assembly.

This is where discrete sound cards have it all over integrated audio.

Replacing those jacks requires a soldering iron. The fact that you are even asking this question tells me that you do not have the skills (or tools) required to do the repair yourself, or you would have already fixed it.

The best solution is to not break them in the first place by being careful not to put any side-loads on it (only straight in/out movement of the plug, and no yanking sideways) as they are not easy to replace, and often replacing the jack is more of a hassle (and, sometimes, more expensive) than replacing the system.

You may be better off getting a cheap sound card, installing that, and using those jacks instead. And next time you break a jack, replace the sound card and not your motherboard. If it was a laptop, you would be S.O.L.

If you were handy with a soldering iron you might even be able to fix it by re-soldering it to the mother board (in the case the connection has come unsoldered at the motherboard, which is common). You’d probably have to remove the motherboard to get at the backside of it to resolder those contacts.

But @jerv‘s suggestion of a cheap sound card is a great option otherwise.

USB sound adapter. Cheap. Better sound, too. Problem solved.

Here’s one for $8.99

http://www.newegg.com/Product/Product.aspx?Item=N82E16812186172

@jaytkay Thanks for that. I have a couple of spare USB outlets so this solution is perfect.

@Jerv Great suggestion – anyone can do this!