2x+3 divided by x=x+5divided by 2
2(2x+3)=x(x+5)
4x +6=x^+5
x^+5x-44x-6
x^+x-6
(x-1)(x+6)
x-1=0 x=1 x+6=0 x=-6
suspect you mean
(2x+3)/x = (x+5)/2
multiply everything by 2x
4 x + 6 = x^2 + 5x
x^2 + x - 6 = 0
(x-2)(x+3) = 0
x = 2 or x=-3
note I have a problem with your transition from your line two to line three
2(2x+3)=x(x+5)
4x +6=x^+5 should be 4 x + 6 = x^2 + 5x