There is only one possible solution to a Rubik’s Cube. The center pieces are fixed. The basic method is as follows: You first do the cross on the bottom face, You then complete the first two layers from the bottom. You finish by completing the last layer.
The last step has a limited number of configurations (56 IIRC) which you can all learn. Doing the cross is trivial. The second step is the one that really requires you to plan how you will approach it. With experience you get used to it and you can solve it by just looking at the scrambled cube. Speedcubers do most of the solving before the timer start. They build a set of moves to get to the solution and then they just have to execute it.
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