Solving the 5x5 Edges

I hate this step; this probably takes the MOST time.
Now, you're solving all the edges. The difference between the 5x5 edges and the 4x4 edges is that the 5x5 have 3-edge piece where as the 4 have 2...
Other than that, no big difference - you will need to know another algorithm though.

The 5x5 Edges

Have fun with this one, anyways...
Look around your cube for a center middle piece (any) and an edge piece that matches it.
Then, based on your thinking and experience, line it up so it looks something like this.



Now, just perform the 4x4 solving algorithm, which is: d, R, F', U, R', F, d'

However, you might line it up to something like this:



With that you perform it the other way.
Here's the algorithm: d', L', F, U', L, F', d

Now, you'll have 2 edges side by side, solved.
From that, look for the final edge piece and line it up like above.
However, make sure you perform either the d, or the d' towards the single piece.

When you're down in one edge, you might encounter something not so friendly...

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The Edge Parity...

Thought you could avoid it eh?
Anyways, when you're down to your last edge, you might encounter it...
It should look something like this:



Luckily, you can just use your parity algorithm to solve it.
r2, B2, U2, l, U2, r', U2, r, U2, F2, r, F2, l', B2, r2


That should be it... All edges and the centers are done - time for your next step!

My best time on this step is around 2~3 minutes. Yes I'm pretty bad at this step.
Once you've mastered this, try using this method of solving the edges: here.

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The 5x5 Centers Solving, 3x3 Style
          5x5 Centers.              This should be easy?