To solve the equation, we can first simplify it by combining like terms:

(x-5) - (x+4) = 0
x - 5 - x - 4 = 0
x - x - 5 - 4 = 0
-9 = 0

This simplifies to -9 = 0, which is not a true statement. Therefore, the original equation (x-5) - (x+4) = 0 does not have a solution.

If the equation also equals 6 as shown in the question, we can write it separately:

(x-5) - (x+4) = 6

Proceeding with the same steps as above:

x - 5 - x - 4 = 6
x - x - 5 - 4 = 6
-9 = 6

As -9 does not equal 6, this means that the equation (x-5) - (x+4) = 6 is also not valid and has no solution.