Answer: X=-6
Step-by-step explanation: Since both logarithms have a base of 9, we can simply get rid of them. We could also do 9^(log9(8-2x))=9^(log9(-3x+2)). This would eliminate the logarithms.
Now we are just left with a simple algebraic equation: 8-2x=-3x+2.
We add 3x on both sides to get 8+x=2. We subtract 8 on both sides to get x=-6. There is no need to create a domain for the values of x since this is not an inequality problem.