#### Answer

The solution is $\frac{50}{9}$

#### Work Step by Step

$\frac{x}{10}$=$\frac{5}{9}$
9x=10*5
9x=50
x=$\frac{50}{9}$
Check the solution $\frac{50}{9}$
$\frac{x}{10}$=$\frac{5}{9}$
$\frac{\frac{50}{9}}{10}$=$\frac{5}{9}$
$\frac{50}{9}$9=5*10
50=50