Answer
The equation has 1 solution, 3.
Work Step by Step
$\frac{5}{x+1}=\frac{x+2}{x+1}$
$5(x+1)=(x+2)(x+1)$ (cross-product property)
$5=x+2$ (simplify)
$x=3$
Check:
$5/(3+1)=5/4; (3+2)/(3+1)=5/4$
The equation has 1 solution, 3.
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