Verified answer

5x/(x²-3x) - 5/(x-3) +1/x=1

5x/(x²-3x) - 5x/(x²-3x) + (x-3)/(x²-3x) = (x²-3x)/(x²-3x)

ОДЗ: x≠0, x≠3

5x-5x+x-3= x²-3x

x²-4x+3=0

x²-3x-x+3=0

x(x-3)-(x-3)=0

(x-1)(x-3)=0

x≠3

x=1