For which value(s) of x are (3 + x)/(5 + x) and (1 + x)/(2 + x) equal?
(x + 3)/ ( x + 5) = ( x + 1) / ( x + 2) cross-multiply
(x + 3) (x + 2) = (x + 5) ( x + 1)
x^2 + 5x + 6 = x^2 + 6x + 5 simplify as
1 = x