Which equation has no solution?
|-x - 3| = 5, |2x - 1| = 0, |5 - 3x| = -8, |-x + 9| = 0

Solution:

|5 - 3x| = -8

The absolute value of any equation can never be negative.

Thus, the equation has no solutions.

Which equation has no solution?
|-x - 3| = 5, |2x - 1| = 0, |5 - 3x| = -8, |-x + 9| = 0

Summary:

The |5 - 3x| = -8 has no solution for x because |x| can not be negative.