# How do you solve 2.5( 2z + 5) = 5( z / 2.5)?

Sep 8, 2017

Like So:

#### Explanation:

...note that $\frac{5}{2.5} = 2$ so,

$2.5 \left(2 z + 5\right) = 2 z$

...multipy 2.5 through the parenthesis on the left...

$5 z + 12.5 = 2 z$

...subtract 2z from both sides...

$3 z + 12.5 = 0$

...subtract 12.5 from both sides...

$3 z = - 12.5$

...divide both sides by 3...

$z = - 4.1666 \ldots$

GOOD LUCK!