How do you solve $\frac{7}{x - 2} = \frac{5}{x}$ $7/(x-2) = 5/x$ ?

Question

1690 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-13T02:59:44

$x = - 5$ $x=-5$

I would use $(x - 2) x$ $(x-2)x$ as common denominator and write:
$(7x)/cancel(x(x-2))=(5(x-2))/cancel(x(x-2))$
$7x=5x-10$
$2x=-10$
$x=-5$

How do you solve 7/(x-2) = 5/x7x−2=5x7/(x-2) = 5/x?