Уравнение с модулем|x+1/x+5|=x+1/x-5

1)x∈(-≈;-5) (x+1)/(x+5)=(x+1)/(x-5) (x+1)(x-5)-(x+1)(x+5)=0 (x+1)(x-5-x-5)=0 -10(x+1)=0 x=-1∉(-≈;-5) 2)x∈[-5;-1] (x+1)/(x+5)=(x+1)/(5-x) (x+1)(5-x)-(x+1)(x+5)=0 (x+1)(5-x-x-5)=0 -2x(x+1)=0 x=0∉[-5;-1] 3)x∈(-1;≈) (x+1)/(x+5)=(x+1)/(x-5) (x+1)(x-5)-(x+1)(x+5)=0 (x+1)(x-5-x-5)=0 -10(x+1)=0 x=-1∉(-1;≈) ответ х=-1