# How do you solve 5(-6-3d)=3(8+7d)?

Mar 27, 2018

$d = - 1.5$

#### Explanation:

We solve this by doing distribution.

$5 \left(- 6 - 3 d\right) = 3 \left(8 + 7 d\right)$

This means that we "distribute" the $5$ to everything in the parenthesis and "distribute" the $3$ to everything to its parenthesis:

$- 30 - 15 d = 24 + 21 d$

Now we need to put all the variables on one side and the numbers on the other side of the equation:
$- 36 d = 54$

$d = - 1.5$

Hope this helps!

Mar 27, 2018

$d = - \frac{3}{2}$

#### Explanation:

$5 \left(- 6 - 3 d\right) = 3 \left(8 + 7 d\right)$
$\Rightarrow - 30 - 15 d = 24 + 21 d$
$\Rightarrow 36 d = - 54$
$\Rightarrow d = - \frac{54}{36}$
$\therefore d = - \frac{3}{2}$

That's it,
Hope it helps :)