The solution to this problem is x > 32
In order to find this, we need to follow the order of operations when solving an equation.
(3x - 1)/5 > 1/2x + 3 ----> Multiply both sides by 5
3x - 1 > 5/2x + 15 ----> Add one to both sides
3x > 5/2x + 16 -----> Subtract 5/2x from both sides
1/2x > 16 ----> Multiply both sides by 2
x > 32
