Question

1. 6/(x+9)=-5/3
2. 8/x-4=4/x-8

Answer 1

6*3 = -5*(х+9) 
18 = -5х -45
18+45 = -5х 
63 = -5х
х = 63/ -5
х = -12,6 

8*(х-8) = 4*(х-4)
8х  -64 = 4х -16
8х-4х = -16+ 64
4х = 48
х= 48 :4
х= 12 

Answer 2

$1. frac6{x+9}=-frac53, \ x+9 neq 0, x neq -9\ 6*3=-5(x+9)\ 18=-5x-45\ 5x=-45-18\ 5x=-63\ x=-63:5\ x=-12.6\ \ 2. frac8{x-4}=frac4{x-8}\ x neq 4\ x neq 8\ 8(x-8)=4(x-4)\ 8x-64=4x-16\ 8x-4x=-16+64\ 4x=48\ x=48:4\ x=12$