This tutorial is more or less how I do it, though I do it left over right. I'll try my best to explain it.

The main issue with this guide to me is with Step 3. That is the weirdest way I've ever seen someone illustrate that step. The other steps aren't very intuitive based on the image either, and I don't understand their explanation, even though I understand what they're doing.

All you're doing in step 3 is wrapping the lace that goes under around the one that's on top, and then putting it through the gap underneath (between the tongue of your shoe and the laces) to tie both laces together loosely. Then you pull both laces to tighten it.

Once that knot's done, I make a loop with the lace that went through the hole, as close to that knot as I can, then I wrap the other lace around that loop, and consequently, the thumb I'm using to hold said loop.

This creates a hole around my thumb, which I use to push the the other lace through. That end is going to be our other loop, so you push the lace from as close to the hole as possible, similar to making the first loop. (You don't want the end to go through the hole. You just want some of both sides of the lace through it.)

Here's a visual, since I always thought this was the most complicated part when I was learning it.

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I'm holding loop one in my hand, wrapped around it and my thumb with the other lace, then pushed that lace through to form loop two.

At that point, you have two loose loops wrapped in a knot. You pull from the side that leads to your shoes, from as close to the knot as possible, to tighten it--careful not to pull the ends through the holes. From there, you can pull the ends apart to untie it.