Question

1/x+3 + 1/x+2 = 2/x+4​

Answer 1

Answer:

x = $\frac{-8}{3}$

Step-by-step explanation:

$\frac{1}{x+3} +\frac{1}{x+2} =\frac{2}{x+4}$

On taking LCM

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

$\frac{2x+5}{x^{2}+5x+6 } =\frac{2}{x+4}$

(x+4)(2x+5) = 2(x²+5x+6)

2x²+5x+8x+20 = 2x²+10x+12

2x²+13x+20 = 2x²+10x+12

3x =  -8

x = $\frac{-8}{3}$