Question

Question #93a96

Answer 1

`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`.