The equation 6 | x | + 25 = 15 can't be solved because the output would be a negative. Let me break it down a little bit.
This is your original equation:
6 | x | + 25 = 15
First step would be to move the 25 over.
6 | x | = -10
Above is what we would get from subtracting the 25 over. Now we just have to get the variable by itself by dividing the 6.
| x | = -1 2/3
No matter what X equals, even if it equals -1 2/3, there are absolute value brackets surrounding the variable. So the X is going to be a positive number regardless of the number X equals. Therefore the equation cannot ever be true. I hope this helped!