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I will show the steps used, please tell me if they are correct or not.
5/7n-3/14+14/3=1/2+14/3
7/5*5/7n=2*7/5
n=14/5

As Grigori noted in his description, the answer is 1.  I believe it is easier to see in the following.

5/7n-3/14+14/3=1/2+14/3

Since we have + 14/3 on both sides we can cancel those out by subtracting it from each side, which leaves.

5/7n-3/14=1/2

Then we move the leave the variable (n) on the left and move the number to the right side of the equation by adding 3/14 to each side we get

5/7n=1/2+3/14  --> 5/7n=10/14  --> 5/7n=5/7

Which can now be seen to be solvable by multiplying each side by 7/5

7/5*5/7n = 7/5*5/7 --> 1n = 1 --> n=1
I can't understand what is the sign between 5/7n and 3/14 (+ or -). Is it 5/(7n) or (5/7) n? I guess,the last one is correct. Whatever sign you have for 3/14, your answer is incorrect. It should ben = 2/5 if it is +3/14, or n = 1 if -3/14. Because, after 14/3 on both sides are canceled, you have left

(5/7)n + 3/14 = 1/2 and n = [(1/2) - 3/14] /(5/7) = [(7/14) -3/14]/ (5/7) = 2/5