Would that look like
? If so, you can multiply both sides by (4x-9) to cancel the 4x-9 on the bottom and get it onto the other side. It would look like this:
.
Distribute the 27 to the 4x and -9, which will get you this:
.
Then you want to add the 243 on both sides to isolate the x which should get you this:
.
Your next to final step is to divide both sides by 108 to leave the x alone. This will appear like this:
.
Your last step is to simplify the fraction or convert it into a decimal depending on which you prefer. If simplified, you should get
and for a decimal you will get
