Question

X÷x+4=3÷x-120" id="TexFormula1" title=" \frac{x}{x + 4} = \frac{3}{x - 1} " alt=" \frac{x}{x + 4} = \frac{3}{x - 1} " align="absmiddle" class="latex-formula">

Answer 1

$\frac{x}{x + 4}=\frac{3}{x - 1} \\3(x+4) = x(x-1)\\3x+12 =x^2-x\\0=x^2-4x-12\\0=(x-6)(x+2)\\X= 6, -2$

Steps:

First we cross multiply

Then Distribute,

Then move all terms to one side

Factor

Set each factor equal to zero