Leonardo solved the given equation almost correctly but he did mistake at 3rd step and 4th step.
Explanation:
Leonardo didn't calculated sum properly. 4/5 would become 12/15 instead of 16/15. Later in step 4, he didn't multiplied 1/4 on both sides but only on the right side.
The correct solution of given equation is:
[tex]4(x-\dfrac{1}{5}) = 2\dfrac{2}{5}\\\\4x - \dfrac{4}{5} = 2\dfrac{2}{3}\\\\4x=\dfrac{8}{3} + \dfrac{4}{5}\\\\4x= \dfrac{40}{15} + \dfrac{12}{15}\\\\\dfrac{1}{4}4x = \dfrac{52}{15}\dfrac{1}{4}\\\\x=\dfrac{13}{15}[/tex]
Thus, Leonardo did mistake on 3rd and 4th step.
Learn more about solving linear algebraic equation here:
https://brainly.com/question/2485471
