Question

(x+2)/(x+1)-(x+4)/(x+3)=(x+6)/(x+5)-(x+8)/(x+7)

Answer 1

(x+2)/(x+1)-(x+4)/(x+3)=(x+6)/(x+5)-(x+8)/(x+7)

1-1/(x+1)-1-1/(x+3)=1+1/(x+5)-1-1/(x+7)

1/(x+1)-1/(x+3)=1/(x+5)-1/(x+7)

2/((x+1)(x+3))=2/((x+5)(x+7))

(x+1)(x+3)=(x+5)(x+7)

x^2+4x+3=x^2+12x+35

8x=-32

x=-4