In order to solve for x, you need to isolate the x on one side. First, you need to multiply the 5 onto the other side to get rid of the fraction. Then, just add 1 and divide by 6 to isolate the x (steps will be shown below):
[tex]\frac{6x-1}{5}=\frac{3}{1}\\5(\frac{6x-1}{5})=5(3)\\6x-1=15\\6x-1+1=15+1\\6x=16\\6x/6=16/6\\x=\frac{16}{6}=\frac{8}{3}[/tex]
So, x = 8/3