To solve this equation, we need to combine like terms and simplify.

First, let's combine the terms with x:

x + 2x = 3x

Now, let's combine the terms with the fractions:

2014/2 + 2014/7 = (2014*7 + 2014*2)/(2*7) = (14098 + 4028)/14 = 18126/14

2014/5 + 2014/6 = (2014*6 + 2014*5)/(5*6) = (12084 + 10070)/30 = 22154/30

Now, the equation becomes:

3x + 18126/14 = 3x + 22154/30

To solve for x, we can subtract 3x from both sides of the equation:

18126/14 = 22154/30

Now, let's find a common denominator for the fractions:

14 and 30 have a common multiple of 210.

Multiplying both sides of the equation by 210, we get:

210 * (18126/14) = 210 * (22154/30)

Simplifying, we have:

18126 * 15 = 22154 * 7

Now, we can solve for x:

271890 = 155078

Since this equation is not true, there is no solution for x.