# How do you solve 7/(x-2) = 5/x?

$x = - 5$
I would use $\left(x - 2\right) x$ as common denominator and write:
$\frac{7 x}{\cancel{x \left(x - 2\right)}} = \frac{5 \left(x - 2\right)}{\cancel{x \left(x - 2\right)}}$
$7 x = 5 x - 10$
$2 x = - 10$
$x = - 5$