Install AMX Mod X

Hamachi is a software which lets you play online without having to install STEAM. Basically it connects your computer through a VirtualLAN system to various other computers on the networks that you have joined.
Just follow the following easy steps and it will not be as complicated as it sounds.

1.Download Hamachi from here
2.Install Hamachi
3.Run Hamachi and do the tutorial
4.Join an existing network (in this case you will have to know the username and the password of this existing network OR simply create your own network and tell your friends to join.

When your friends login, it will show on your Hamachi main screen.

You can actually play every game that supports a LAN play mode through Hamachi.

Here's how to play Counter-Strike with your friends using Hamachi.

If you want to join your friend's game -
1.Simply right-click on a friend who is online on Hamachi and is also playing Counter-Strike. Then select copy address
2.Launch counter-strike and open the console using the tilde(~) button.
3.Type the following command -
connect(space bar)[paste]
4.Hit 'Enter'

For example if the address that I copied was 100.271.191.24 then I would type -
connect 100.271.191.24

If you want your friends to join your game -
Start a 'New Game' and tell your friends to follow the steps listed above.