Question #93a96

1 Answer
Nov 14, 2017

x=-10x=10 or x=8x=8

Explanation:

2|x+1|-:3=62|x+1|÷3=6 is the same as (2|x+1|)/3=62|x+1|3=6.

Now. we multiply both sides by 33:

(color(red)3color(red)*2|x+1|)/3=6color(red)*color(red)332|x+1|3=63

which is equal to 2|x+1|=182|x+1|=18.

Divide both sides by 2:
(2|x+1|)/color(red)2=18/color(red)2->2|x+1|2=182

|x+1|=9|x+1|=9

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

For x+1=-9x+1=9:
Subtract both sides by 1:
x+1color(red)-color(red)1=-9color(red)-color(red)9x+11=99
Simplify:
x=-10x=10

For x+1=9x+1=9:
Subtract both sides by 1:
x+1color(red)-color(red)1=9color(red)-color(red)1x+11=91
Simplify:
x=8x=8

Therefore,
x=8x=8 or x=-10x=10.