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Knowing how to solve the Rubik's Cube is an amazing skill and it's not so hard to learn if you are patient. You'll realize that you don't have to be a genius to get it done.

In this tutorial we are going to use the easiest layer-by-layer method.

1

White Edges

Let's start with the white face. Try to form a plus sign on the top of the cube, matching the colors of the side stickers to the colors of the lateral centers. This step shouldn't be too hard, try to do this without reading the examples below.

We can easily insert the edge to the top if you move it to the highlighted bottom-front spot first. Depending on where the white sticker is facing do the rotations.

A - white sticker facing down: FF
B - white sticker at the bottom: DRF'R'

When the white edge is stuck between two solved edges (last image) you can send it to the bottom layer doing this:

LDL'

I used capital letters to mark the clockwise face rotations: F (front), R (right), L (left), U (up), D (down).

Turns in the opposite direction are marked with an apostrophe.

Examples
2

Finish The White Face

When the white edges are matching we can move on to solve the white coners.

First put the white corner that belongs to the spot marked with the upper arrow in either of the highlighted positions. Next repeat the algorithm below until the white piece comes to its desired destination.

R'D'RD

This trick sends the piece back and forth between the top and bottom locations, twisting the corner in each step. Using this you can solve each white corner in less than 6 iterations.

At the end your cube should have a solid white face with the lateral stickers matching the lateral centers.

Examples
3

Center Layer

Turn your cube upside down because we don't need to work with the white face anymore. We can insert an edge piece from the top-front position to the middle layer using a trick. Do the left or right algorithm depending on which side you have to insert the piece:

Left:  U'L'ULUFU'F'
Right:  URU'R'U'F'UF

When a center layer piece is in a wrong position you can use the same trick to take it out.

You'll have two solved layers when you finish this stage. We're almost there.

More...
4

Yellow Cross

Inspect the top of your cube. You see a yellow cross, a line, an L-shape or a dot. Our goal is to form a yellow cross.

FRUR'U'F'

Use this algorithm to shift from one state to the other.

More...
5

Swap Edges

We have a yellow cross on the top but the edges are not in their final position. They need to match the side colors.

RUR'URUUR'U

Use this to swap the front and left yellow edges in the top layer.

6

Cycle Corners

Only the yellow corners are left unsolved at this point. Now we are going to put them in their final position and we'll rotate them in the last step.

Use the algorithm below to cycle the pieces in the direction marked with the arrows while the top-right-front piece is standing still.

URU'L'UR'U'L
7

Orient Corners

Everything is positioned, we just have to orient the yellow corners. We use the same algorithm that we used for solving the white corners in the second step:

R'D'RD

This step can be confusing for most people so read the explanation very carefully and do exactly what it says!

1. Hold the cube in your hand having an unsolved yellow corner in the highlighted top-right-front position.
2. Repeat the algorithm until this piece is solved.
3. Turn the top layer to bring another unsolved piece in the highlighted position.
4. Repeat R' D' R D until that one is also solved.
5. Do 3 and 4 for any other unsolved yellow corner.

Important! During the process it might seem that you have messed up the whole cube but don't worry because it will come together if you do it correctly, following the instructions.

Examples
+

Video Tutorial

Watch these steps being explaind in this video: