If $$\frac{1}{x} + \frac{2}{3} = \frac{1}{2x} + \frac{3}{4}$$​ then the value of x is:

Correct option is C

​$$\text{Given equation: } \frac{1}{x} + \frac{2}{3} = \frac{1}{2x} + \frac{3}{4} \\\text{Multiply both sides by the common denominator } 12x: \\12x \left( \frac{1}{x} + \frac{2}{3} \right) = 12x \left( \frac{1}{2x} + \frac{3}{4} \right) \\12 + 8x = 6 + 9x \\8x - 9x = 6 - 12 \\-x = -6 \\x = 6$$​​