# How do you solve 2/3(6x-9)=-34 using the distributive property?

Sep 2, 2016

$x = - 12$

#### Explanation:

The factor $\frac{2}{3}$ outside the bracket must be distributed (multiplied) across the bracket. Each inside term will be multiplied by $\frac{2}{3}$
This will get rid of the brackets.

$\frac{2}{3} \left(6 x - 9\right) = - 34$

$4 x - 6 = - 54$

$4 x - 6 + 6 = - 54 + 6 \text{ "larr "add 6 to both sides}$

$4 x = - 48 \text{ "larr div 4 "on both sides}$

$x = - 12$