Answer
No solution; contradiction
Work Step by Step
1. Given: -2x + 5x - 9 = 3(x - 4) - 5
2. Apply Distributive Property: -2x + 5x - 9 = 3x - 12 - 5
3. Add and subtract: -9 $\ne$ -17
Since the sides do not equal and there is no solution, the equation is classified as a contradiction.