For what value of x will (3 + x)/(5 + x) and (1 - x)/(2 + x) be equal?
Cross multiply and simplify:\(\frac{3+x}{5+x} = \frac{1-x}{2+x}\)
\((3+x)(2+x) = (1-x)(5+x)\)
\(x^2 + 5x + 6 = -x^2 - 4x + 5\)
So, \(x = -\frac{9}{4} \pm \frac{\sqrt{73}}{4}\)
+1224 
