[This guide only applies for the Steam versions of RPG Maker. If you have the non-Steam version, it can still be downloaded and run on Linux by following my other guide here(originally written with reference to the released game .exe)]
In this tutorial, I'll show you how to run the Steam versions of RPG Maker in Linux with Steam's fantastic Proton tool. Proton is a fork of Wine designed around Steam games.
Step 1: Install Steam
The two most popular distributions are Ubuntu and Linux Mint. (Mint is a fork of Ubuntu.)
On both OS's, the Software Center should be preinstalled. Open the terminal (Ctrl + Alt + T) and type: Code:
The Software Manager must still be first installed if it is not already installed.
If you are using a Debian-based distribution that is not Ubuntu-based (such as Kali, or even Debian itself), you should still be able to enter the apt install command and run the software manager.
Once the Software Manager is open, search for Steam and hit install. The interface at this point is intuitive.
Open the Steam client and open the Settings. (Make sure family mode is turned off during this guide, if applicable.)
Go down to "Steam Play" and check "Enable Steam Play for supported titles" and "Enable Steam Play for all other titles". Then select the latest version of Proton from the dropdown. I selected Proton 5.13-6, which was the most recent at the time this guide was written. (If newer options are available, select them instead!)
Note that there is a "Proton Experimental" version. In my attempts to use it, it has caused problems. Personally I'd recommend selecting the newest stable version.
Step 3: Install RM and enjoy!
Great! You should now be able to select the RPG Maker version of your choice, hit install, and then open it up and begin working. There's no guarantee that RPG Maker will work perfectly, but it's worked well enough for me.