Question

1/x+7 + 1/x+3 = 6/5​

Answer 1

Answer:

$\frac{1}{x + 7} + \frac{1}{x + 3} = \frac{6}{5} \\ \frac{(x + 3) + (x + 7)}{(x + 3)(x + 7)} = \frac{6}{5} \\ {5x + 15 + 5x + 35} = 6x + 18 + 6x + 42 \\ 10x + 50 = 12x + 60 \\ - 10 = 2 x \\ x = - 5$

hope it helps you

Answer 2

Answer:

1/x+7 +1/x+3 =6/5

x+7+x+3/(x+7)(x+3) =6/5

10x+50=6(x²+10x+21)

10x+50=6x²+60x+126

6x²+50x+76=0

6x²+12x+38x+76=0

6x(x+2)+38(x+2)=0

(x+2)(x+38)=0

x=-2,-38.