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This is the beginner method to solve the Rubiks cube. It has seven steps and with some practice, you should be able to solve the cube in about 2-4 minutes. Gan has one of the best tutorials. You can click below to download it or go directly to their page.
J Perm has also one of the best tutorials. His videos are great.
But if you want to get faster, you should learn the CFOP method below.
Cross, First 2 Layers, Orientation, Permutation (CFOP) is the most popular method for speedsolving the Rubik's Cube. It is the method used by all 3x3 world record holders in the last decade.
With CFOP you should easily get below 40 seconds, but it takes some practice.
Also here I can advice you to follow J Perm tutorials.
You can practice all the algorithms by clicking here
When you feel you are ready to move on, click on the next tab and follow my methodolgy to become a pro speedcuber.
If you want to become sub-20 you need to follow a structured methodolgy and practice regularly.
Focus on your weakest areas and keep improving. Below you can find some tips to help you become a pro cuber.
Keep practicing and watch example and critique solves from the best speedcubers on YouTube. You can find in the next tab some useful links.
More important than anything. Enjoy the journey. Happy cubing!