# How do you solve \frac { 3} { 5x } - \frac { 10} { x ^ { 2} } = \frac { 2} { 10x }?

##### 1 Answer
May 8, 2017

$x = 25$

#### Explanation:

$\frac{3}{5 x} - \frac{10}{x} ^ 2 = \frac{2}{10 x} = \frac{1}{5 x}$

multiply with $5 {x}^{2}$ to both sides
#3x - 50 = x

minus with $x$ to both sides
$2 x - 50 = 0$

add with $50$ to both sides
$2 x = 50$

divide with $2$ to both sides
$x = 25$