-3|4x-9|=24

Divide bth sides by -3 to isolate the absolute value:

  |4x-9|=-8

Absolute values are never negative, they can only be equal to
a positive number or to zero.  An absolute value can never
equal to a negative number, such as -8.  So this is really a
trick problem to see if you know that fact about absolute
values.  There can be no solution to this problem.

Answer:  There is no solution.


Edwin