If $$\frac{{4\left( {\frac{{2x}}{5} - \frac{3}{2}} \right)}}{3} + \frac{7}{5} = \frac{{37}}{5}$$     then what is the value of x?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{4\left( {\frac{{2x}}{5} - \frac{3}{2}} \right)}}{3} + \frac{7}{5} = \frac{{37}}{5} \cr & \Rightarrow \frac{{\frac{{8x}}{5} - 6}}{3} + \frac{7}{5} = \frac{{37}}{5} \cr & \Rightarrow 8x - 30 + 21 = 111 \cr & \Rightarrow 8x = 111 + 9 \cr & \Rightarrow x = \frac{{120}}{8} \cr & \Rightarrow x = 15 \cr} $$