Question #c2067

Mar 11, 2017

$x = \frac{9}{10} = 0.9$

Explanation:

There are several methods for solving this equation
In this case I have worked with the fractions and removed them by cross=multiplying at the end.

Move the like terms to the same side.

$\frac{1}{5 x} + \frac{1}{4} = \frac{1}{4 x} - \frac{1}{4}$

$\frac{1}{4} + \frac{1}{4} = \frac{1}{4 x} - \frac{1}{5 x} \text{ } \frac{1}{4} > \frac{1}{5}$ hence move to RHS

$\frac{1}{2} = \frac{5 + 4}{20 x}$

$\frac{1}{2} = \frac{9}{20 x} \text{ }$ cross multiply

$20 x = 18$

$x = \frac{18}{20}$

$x = \frac{9}{10} = 0.9$