To solve this problem you must apply the proccedure shown below:
1. You have the following rational function given in the problem above:
5x/2x-6
2. By definition the vertical asymptotes of a rational function are the values of x that make denominator equal to zero. Therefore, you have:
2x-6=0
3. Solve for x, as following:
2x=6
x=6/2
x=3
Therefore, the answer is: x=3