Answer and Step-by-step explanation:
[tex]Hello![/tex]
[tex]Let's~answer~your~question![/tex]
[tex]We ~know~ either~4x+\frac{2}{5}=2~or~4x+\frac{2}{5}=-2[/tex]
→ Possibility 1 :
[tex]4x+\frac{2}{5}-\frac{2}{5} =2-\frac{2}{5}~~~~~(Subtract~ \frac{2}{5} ~from~ both ~sides)[/tex]
[tex]4x=\frac{8}{5}[/tex]
[tex]\frac{4x}{4}=\frac{\frac{8}{5} }{4} ~~~~~(Divide~ both~ sides~ by~ 4)[/tex]
[tex]x=\frac{2}{5}[/tex]
→ Possibility 2 :
[tex]4x+\frac{2}{5} =-2[/tex]
[tex]4x+\frac{2}{5}-\frac{2}{5}=-2 -\frac{2}{5}~~~~~(Subtract~\frac{2}{5} ~from~ both ~sides)[/tex]
[tex]4x=\frac{-12}{5}[/tex]
[tex]\frac{4x}{4} =\frac{\frac{-12}{5} }{4}[/tex] [tex](Divide~both~sides~by~4)[/tex]
[tex]x=\frac{-3}{5}[/tex]
Answer :
[tex]x=\frac{2}{5} ~or~\frac{-3}{5}[/tex]
