Simple algebra. How can you factor out a common factor if it is $\frac{1}{\text{factor}}$ in one of the cases? I'm sure this is simple.  I want to pull out a factor as follows...
I have the expression
$$\frac{a(\sqrt{x}) - (b + c)(\frac{1}{\sqrt{x}})c}{x}.$$
It would be useful for me to pull out the $\sqrt{x}$ from the numerator and try to simplify to remove the denominator, but how can I pull out the $\sqrt{x}$ from the right-most statement $\frac{1}{\sqrt{x}}$.
Thanks for your help!

$$
a\sqrt{x} - (b+c)\frac{1}{\sqrt{x}}c = a\sqrt{x} - (b+c)\frac{\sqrt{x}}{\sqrt{x}\sqrt{x}}c = \sqrt{x}\left( a - (b+c) \frac 1x c\right) 
$$
