To solve this equation, we need to simplify and isolate the variable x:

First we multiply 3 by 2/5:

3 * 2/5 = 6/5

Now we have:

x + 6/5 = 14 1/6

Next, we convert 14 1/6 to an improper fraction:

14 1/6 = 85/6

Now we have:

x + 6/5 = 85/6

To isolate x, we subtract 6/5 from both sides:

x = 85/6 - 6/5

To subtract these fractions, we need a common denominator of 30:

x = 425/30 - 36/30
x = 389/30

Therefore, the solution is x = 389/30.