NEED HELP ASAP!!!! WILL GIVE BRAINLIEST!!!!

Answer:
-13
Step-by-step explanation:
[tex] {3}^{x - 5} = {9}^{x + 4} \\ \\ \implies \: {3}^{x - 5} = {3}^{2(x + 4)} \\ \\ \implies \: {3}^{x - 5} = {3}^{2x + 8} \\ \\ \implies \: x - 5 = 2x + 8 \\ \\ x - 2x = 8 + 5 \\ \\ \implies \: - x = 13 \\ \\ \implies \: x = - 13[/tex]