MInecraft forge 1.7.10 won't show up in my profile options
This is how you install forge. Follow my steps carefully.
Download the version of Minecraft you wish to install Forge with.
Run that version of Minecraft and then close it.
Download the Forge installer and run it. If you wish to use it on a server, select server. If you wish to use it on a client (on your own game and not a server) then just click install.
After the installation, you should find a new profile in your Minecraft launcher called Forge, with the version you just installed already selected. Run it before you try to install any mods on it.
Once you've done that, you should find the mods folder in your .minecraft folder, you can put your mod jars here.
Here's where you went wrong: Forge creates that mods folder and you put the mods inside. You don't create the mods folder and put Forge inside. Try again with my method, and good luck!