Answer
$x=-5$
Work Step by Step
We have $\dfrac{5}{x+1}+3=\dfrac{-7}{x+1}$ ...(1)
Re-write as: $ 5+3x+3=-7$
or, $3x =-15 \implies x=-5$
We need to check the solution.
Plug $x=-5$ into equation (1).
$\dfrac{5}{-5+1}+3=\dfrac{-7}{-5+1}$
$\implies \dfrac{7}{4}= \dfrac{7}{4}$; Verified
