Step 1 :The natural logarithm function is a one-to-one function, which means that if \(\ln(a) = \ln(b)\), then \(a = b\). Therefore, we can set the arguments of the logarithms equal to each other and solve for \(x\).
Step 2 :So, we have \(9x + 12 = 8x + 5\).
Step 3 :Solving for \(x\), we get \(x = -7\).
Step 4 :The solution to the equation is \(\boxed{-7}\).