First of all, divide both sides by 1,000,000 so that it's nicer to look at.
After this, you can multiply both sides by (x+1)^5 to get rid of denominators and you will be left with a polynomial of degree 5.
In addition, you can substitute y = x + 1, solve for y, then subtract one from y to recover x.
I don't know how straightforward solving the quintic in y will be, and what tools you have available, but possibly it will factor easily and/or there will be rational roots you can find through trial/error, otherwise you might need some sort of computing device, like a graphing calculator or Mathematica, to find roots.
As a final note, if you find that x = -1 is a solution, you'll have to exclude it from your solution list because that would make the denominators in the original problem equal to zero.