X÷x+4=3÷x-1 (x)/(x + 4) = (3)/(x - 1)

Question

X÷x+4=3÷x-1

`(x)/(x + 4) = (3)/(x - 1)`

Answer 1

`(x)/(x + 4)=(3)/(x - 1) \\3(x+4) = x(x-1)\\3x+12 =x^2-x\\0=x^2-4x-12\\0=(x-6)(x+2)\\X= 6, -2`

Steps:

First we cross multiply

Then Distribute,

Then move all terms to one side

Factor

Set each factor equal to zero