Problem

The sum of solution(s) of the equation

2[x] + x = 6\{x\}

Note:

[y]

denotes the greatest integer less than or equal to

y

and

\{y\}

denotes fractional part of

y

is (a) 0 (b)

\frac{5}{3}

(c)

\frac{3}{5}

(d)

\frac{8}{5}