Question 1017812

Hi, I don't get how this equation works. I have the answer, but I don't know why it's the answer:
1/(x^2 + 1) + 1/(x+1) = x/(x^2-1)
Could you please have a step-by-step explanation? Thanks in advance!
<pre>The equation, after multiplying by the LCD, becomes: 0 on one side and 2 on the other. 
Because {{{0 <> 2}}}, {{{highlight_green(matrix(1,2,NO, SOLUTION))}}} exists.