# How do you solve 7/(8x) + 3/(5x) = 1 ?

Oct 10, 2015

You should equate the denominators.

#### Explanation:

The denominators are $8 x$ and $5 x$, if you equate them, you can easily solve it.
$\frac{7 \cdot 5}{8 x \cdot 5} + \frac{3 \cdot 8}{5 x \cdot 8} = 1$

$\frac{35}{40 x} + \frac{24}{40 x} = 1$

$\frac{59}{40 x} = 1$

$59 = 40 x$

$x = \frac{59}{40}$