Answer
$x = 0.2$
$x = \frac{1}{5}$
Work Step by Step
$\frac{0.5}{x} = \frac{2}{0.8}$
$2x = (0.5)(0.8)$
$2x = 0.4$
$2x\div2 = 0.4\div2$
$x = 0.2$
$\frac{\frac{1}{2}}{x} = \frac{2}{\frac{8}{10}}$
$2x = (\frac{1}{2})(\frac{8}{10})$
$2x = \frac{8}{20}$
$2x(\frac{1}{2}) = \frac{8}{20}(\frac{1}{2})$
$x = \frac{8}{40}$
$x = \frac{8\div8}{40\div8}$
$x = \frac{1}{5}$