First, we can simplify the expression using the properties of logarithms:

log0.3(12x+8) - log0.3(11x+7) = 0
log0.3((12x+8)/(11x+7)) = 0

Next, we can convert the logarithmic equation into exponential form:

0.3^0 = (12x+8)/(11x+7)
1 = (12x+8)/(11x+7)

Now, we can solve for x by cross multiplying:

11x + 7 = 12x + 8
11x - 12x = 8 - 7
-x = 1
x = -1

Therefore, the solution to the equation log0.3(12x+8) - log0.3(11x+7) = 0 is x = -1.