I need some help here, this is a hard one. Show me some steps.

For the following integral

$\displaystyle I = \int^{10}_{0}\frac{\sqrt{x}}{\sqrt{x}+{\sqrt{10-x}}}$

use a substitution to show that

$\displaystyle I = \int^{10}_{0}\frac{\sqrt{10-x}}{\sqrt{x}+{\sqrt{10-x}}}$

Use these two representations of I to evaluate I.