# How do you solve (x-6)/x=4/2?

Apr 28, 2017

$x = - 6$

#### Explanation:

By cross-multiplying, we get:
$2 \left(x - 6\right) = 4 x$

We divide both sides by 2, and then we can isolate x.
$x - 6 = 2 x$
$x = 2 x + 6$

Since we have x on both sides, we subtract 2x from both sides, and we can then simplify.

$- x = 6$
$x = - 6$