Question

The answer choices are -3, 3/2, 3, and -12/5. thanks in advance!! :)

Answer 1

Answer:

(C). {3}

Step-by-step explanation:

$\frac{x}{2(x+1)}$ = $\frac{-2x}{4(x+1)}$ + $\frac{2x-3}{x+1}$ ( x ≠ - 1 )

$\frac{x}{2(x+1)}$ - $\frac{2x-3}{x+1}$ + $\frac{x}{2(x+1)}$ = 0

$\frac{2x-3}{x+1}$ - $\frac{x}{(x+1)}$ = 0

$\frac{x-3}{x+1}$ = 0 ⇒ x = 3