(PUC) O valor de $\,x\,$ na equação $\phantom{X}{\large \binom{2n}{n}}\,=\,x{\large \binom{2n}{n\,-\,1}}\phantom{X}$ é:
a)
$\,\frac{n\,+\,1}{n}\,$
b)
$\,\frac{n\,-\,1}{n}\,$
c)
$\,\frac{1\,-\,n}{n}\,$
d)
$\,\frac{2n\,+\,1}{n}\,$
e)
$\,\frac{2n\,-\,1}{n}\,$