Question

$\frac{x}{5}-2= \frac{5(x-3)}{4}$

Answer 1

x/5 - 2 = (5x - 15)/4 ---mmc(5,4)=20
4x - 40 = 25x - 75
-40 + 75 = 25x - 4x
35 = 21x ---> x = 35/21 ---> x = 5/3

Answer 2

${\frac{x}{5} \ - \ 2 \ = \ \frac{5 \ (x \ - \ 3)}{4}$

$\frac{x}{5} \ - \ 2 \ = \ \frac{5x \ - \ 15}{4} \\ \\ mmc \ (4, \ 5) \ = \ 20 \\ \\ 4x \ - \ 40 \ = \ 25x \ - \ 75 \\ \\ 4x \ - \ 25x \ = \ - \ 75 \ + 40 \\ \\ - \ 21x \ = \ - \ 35 \\ \\ x \ = \ - \ 35 \ \div \ (- \ 21) \\ \\ x \ = \ \frac{5}{3} \ \ \ ou \ \ \ 1 \ \frac{2}{3}$