This is how I do it:
Now you have to expand them
Now you have to collect like terms
Factor out the greatest common factor
Now bring (3 log 3 - 2 log 2) over to the other side by canceling out so only x remains. You can do this by divinding it on both sides.
So your exact answer is:
x = (log 3 - log 2) over (3 log 3 - 2 log 2)
Note: To cancel out a term or number. You have to do the opposite sign of what it is telling you to do to bring to the other side. For example. If you want to know all the ways that 2+3 = 5. You have to either subtract 2 or 3 on both sides to cancel it out on the left side to bring it to the right side.