Find number of values of x satisfying the given equation.

limit 0 to 2[x+14] $\displaystyle \int [\frac{t}{2}].dt$=limit 0 to {x} $\displaystyle \int [t+14] dt$

where {.} is fractional part of x and [.] is integer number less than or equal to x.

actually speaking, I am not able to get anything from the language of question whether is it asking integral values or real number.

But one thing I hope am doing correct is that R.H.S. comes out to be 14 (Happy).

P.S.: i tried my best to solve this question and also use LaTex to type it here. (Nerd)