\(x+\dfrac{4}{5}=2x\dfrac{5}{3}\)
<=> \(x+\dfrac{4}{5}=\dfrac{6x+5}{3}\)
<=> \(\dfrac{15x}{15}+\dfrac{12}{15}=\dfrac{5\left(6x+5\right)}{15}\)
<=> 15x + 12 = 5(6x + 5)
<=> 15x + 12 = 30x + 25
<=> 15x - 30x = 25 - 12
<=> -15x = 13
<=> x = \(\dfrac{-13}{15}\)