1)|J|/5+1=-4

a. no solution
b. j=15 or -15
c. j=-25
d.j= -15

my answer is A

2) 1/6|4x-8|=6x
a. x=-7, x=11
b. x=8/3, x=8/5
c. no solution
d. x=-1/4, x=1/5

my answer is J

|j|/5 = -5

|j| = -25 impossible because absolute value is positive so you are correct that there is no solution

I do not know if |4x-8| is in the numerator with 1 or the denominator with 6. If in the numerator then

|4x-8| = 36 x
(4x-8) = 36 x or (-4x+8) = 36 x
-8 = 32 x or 8 = 40 x
x = -1/4 or x = 1/5 so I get d