To solve for x in this equation, we first need to simplify the expression on the left side:

2009-2008/(2008-2009*x) = 2008

2009 - 2008 = 1

So, the equation becomes:

1/(2008-2009*x)=2008

Next, we can cross multiply to get rid of the fraction:

1 = 2008 (2008 - 2009x)
1 = 20082008 - 20082009*x

Now, we can solve for x by isolating it on one side of the equation:

1 = 4032064 - 4016472x
4016472x = 4032064 - 1
4016472x = 4032063
x = 4032063 / 4016472
x ≈ 1.003905

Therefore, the solution to the equation is approximately x = 1.003905.