Question #93a96

1 Answer
Nov 14, 2017

x=-10 or x=8

Explanation:

2|x+1|-:3=6 is the same as (2|x+1|)/3=6.

Now. we multiply both sides by 3:

(color(red)3color(red)*2|x+1|)/3=6color(red)*color(red)3

which is equal to 2|x+1|=18.

Divide both sides by 2:
(2|x+1|)/color(red)2=18/color(red)2->

|x+1|=9

Since color(red)|color(red)| means absolute value,
there are two statements we have to solve:
x+1=-9 and x+1=9

For x+1=-9:
Subtract both sides by 1:
x+1color(red)-color(red)1=-9color(red)-color(red)9
Simplify:
x=-10

For x+1=9:
Subtract both sides by 1:
x+1color(red)-color(red)1=9color(red)-color(red)1
Simplify:
x=8

Therefore,
x=8 or x=-10.