Would that look like [tex]\frac{3}{4x-9} = 27[/tex]? 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: [tex]\frac{4x-9}{1} \times \frac{3}{4x-9}= 27 \times \frac{4x-9}{1} \\ 3 = 27(4x-9)[/tex].
Distribute the 27 to the 4x and -9, which will get you this:[tex]3=108x-243[/tex].
Then you want to add the 243 on both sides to isolate the x which should get you this: [tex]246=108x[/tex].
Your next to final step is to divide both sides by 108 to leave the x alone. This will appear like this: [tex]x= \frac{246}{108}[/tex].
Your last step is to simplify the fraction or convert it into a decimal depending on which you prefer. If simplified, you should get [tex]x=13\frac{2}{3}[/tex] and for a decimal you will get [tex]x=13.67[/tex]
