Mechancial Spring, Transfer question, not quite adding up

[Sparkypedia]

Hello everyone, below I have placed an image of the question, I am quite happy with
the theory. My issue is how it goes from being F(s) = KX(s) to X/F(s) = 1/K

I know to change this into a transfer function it is output (X) over input (F).
However when ever I try i always end up with it = -k/1 ? not 1/K.

This is a very simple problem I know. Would appreciate any help, cheers


[PLAIN]http://img849.imageshack.us/img849/9357/springr.png

 

[PhanthomJay]

I think you are just having a problem with the algebra. If
F = kx, divide both sides by F, thus
1 = kx/F. Now divide both sides by k.

What do you get?

 

[Sparkypedia]

indeed i was thank you for that...its stupid i am happy with laplace, transfer functions, matrix, itegration, differentiation but simple algebra is my downfall!