X divided by x+3 equals 4 divided by x+5

x=-4, 3.

Step-by-step explanation:

x / (x+3) = 4 / (x+5)

cross product

4 (x+3) = x (x+5)

4x+12=x^2+5x

x^2+5x-4x-12=0

x^2+x-12=0

factor out the trinomial,

(x+4) (x-3) = 0

zero property,

x+4=0, x-3=0,

x=0-4=-4

x=0+3=3