The people that have figured out how to solve it are good with colors and patterns. If you are not good with colors, then use something to mark each of the corners with something that you are good at recognizing, like number them 1 through 8.

There are movement patterns that move the corners. There are movement patterns that move the edges. And there are movement patterns that move the center pieces.

You can learn 2 or 3 of each of the generic movement and then always solve the cube. There are many more patterns, which are quicker in certain instances, but you have to be able to recognize what state the cube is in.

And realize, that when you move one edge, you are moving at least one other edge at the same time.