Your starting inequality is

    3x - 1 > x + 5


Add 1 to both sides.  You will get

    3x     > x + 6.


Subtract x from both sides.  You will get

    2x     >     6.


Divide both sides by 2

     x > 3.


It is the ANSWER :  the solution set is  { x > 3 },  or  (3,oo).


                     The plot is shown below



    -----------------|-----|-----|-----(=====|=====|=====|===============
    -oo              0     1     2     3     4     5     6             oo



          In the plot, the solution set is presented by bold line.