Question

Absolute value equation |4x+2/5|=2​

Answer 1

Answer and Step-by-step explanation:

`Hello!`

`Let's~answer~your~question!`

`We ~know~ either~4x+(2)/(5)=2~or~4x+(2)/(5)=-2`

→ Possibility 1 :

`4x+(2)/(5)-(2)/(5) =2-(2)/(5)~~~~~(Subtract~ (2)/(5) ~from~ both ~sides)`

`4x=(8)/(5)`

`(4x)/(4)=((8)/(5) )/(4) ~~~~~(Divide~ both~ sides~ by~ 4)`

`x=(2)/(5)`

→ Possibility 2 :

`4x+(2)/(5) =-2`

`4x+(2)/(5)-(2)/(5)=-2 -(2)/(5)~~~~~(Subtract~(2)/(5) ~from~ both ~sides)`

`4x=(-12)/(5)`

`(4x)/(4) =((-12)/(5) )/(4)`
`(Divide~both~sides~by~4)`

`x=(-3)/(5)`

Answer :

`x=(2)/(5) ~or~(-3)/(5)`