Question

4|x+5|=20
Thanks for the help

Answer 1

4Ix+5I=20

`4(-(x+5))=20`

`4(-x-5)=20` distributhing 4 through parantheses

`-4x-4*5=20`

`-4x-20=20`

`-4x=20+20`

`-4x=40` divide by -4

`x= (40)/(-4)` simplify

`x=-10`
The answer is : - 10

Answer 2

4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like:
`|x + 5| = 5`
Second, simplify
`(20)/(4)` to 5. / Your problem should look like:
`|x + 5| = 5`
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. /
Cancel 5 on both sides. /
`x = 0`
Fifth, solve -(x + 5) = 5 /
Simplify brackets /
`-x - 5 = 5`
Add 5 to both sides /
`-x = 5 + 5`
Add 5 + 5 /
`-x = 10`
Multiply both sides by -1 /
`x = -10`
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like:
`x = -10, 0`

Answer: x = -10, 0