Verified Answer :

4x-3/5=2/5
Add 3/5 to both sides of the equation
4x = 1
Divide both sides by 4
x=1/4

Answer: [tex]x=\dfrac{1}{4}[/tex].

Step-by-step explanation:

The give equation : \(4x-\dfrac{3}{5}=\dfrac{2}{5}\)

Adding \(\dfrac{3}{5}\) on both the sides , we get

\(4x-\dfrac{3}{5}+\dfrac{3}{5}=\dfrac{2}{5}+\dfrac{3}{5}\\\\\Rightarrow\ 4x=\dfrac{3+2}{5}\\\\\Rightarrow\ 4x=\dfrac{5}{5}\\\\\Rightarrow\ 4x=1\)

Now, Divide 4 on both sides , we get

\(\Rightarrow x=\dfrac{1}{4}\)

Hence, the value of x is  \(x=\dfrac{1}{4}\).