Question

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

Answer 1

`x = -12`

Explanation:

The factor `2/3` outside the bracket must be distributed (multiplied) across the bracket. Each inside term will be multiplied by `2/3`
This will get rid of the brackets.

`2/3(6x -9) = -34`

`4x -6 = -54`

`4x -6 +6 = -54 +6 " "larr "add 6 to both sides"`

`4x = -48" "larr div 4 "on both sides"`

`x = -12`