How do you solve the equation abs(2x+6)=12?

1 Answer
Mar 18, 2018

x=3 orx=-9

Explanation:

Here,
|2x+6|=12

=>2x+6=12 or 2x+6=-12

Adding (-6) to the both sides of each equation,

=>2x+cancel(6)+(cancel((-)6)=12+(-6)=12-6

or2x+cancel(6)+(cancel(-6))=-12+(-6)=-12-6

=>2x=6 or 2x=-18

Dividing both sides of each equation by 2,we get

(cancel(2)x)/cancel(2)=cancel(6)^3/cancel(2) or(cancel(2)x)/cancel(2)=-cancel(18)^9/cancel(2)

x=3 orx=-9