Start with a scrambled Rubik's cube.
Choose a layer to solve and make a cross on it. A correct cross means the other face of the piece matches the center color of the other face. More detailed instructions follow.
Overview of the cross
Cross side 1
Cross side 2
Cross side 3
Cross side 4
Here's another angle so you can see how all 4 sides match on the cross.
Now look for the corner pieces that you want to fill in the first layer with. I want to find pieces that point out on the side faces of the cube and if not, arrange them so they are.
Determine the correct placement of the piece before insertion.
Insert that piece into the correct corner of the first layer.
Do the same for the other 3 corners.
First layer solved.
Figure out which piece needs to fill the second layer.
Place the appropriate piece in the second layer.
First piece in correct place in second layer.
Do the same for the other 3 pieces in the second layer.
Second layer solved.
Make a cross on the top layer.
Align the cross part 1.
Align the cross part 2.
Determine where the corner blocks should go.
Move the corner pieces to the right locations.
Orient the corner pieces correctly.
Keep doing the "finger trick" to finish solving the cube.
Congratulations, you have solved a Rubik's cube!