# How do you solve \frac{2}{5} x - 15= \frac{5}{8} x - 16?

Jun 26, 2018

$x$ =4.444 or $x$ = $\frac{40}{9}$

#### Explanation:

Start by bringing all like terms on one side:

$\frac{2}{5}$$x$- $\frac{5}{8}$$x$ = -16 +15

Here, notice that the signs flip on going to the other side.

So you get:

-$\frac{9}{40}$$x$ = -1

Here -$\frac{9}{40}$ is multiplied to $x$ so it'll go to the other side by division. This will cancel the negative sign of $- 1$.

So you get:

$x$ = 4.4444

or

$x$ = $\frac{40}{9}$