Sketch the graph of $\displaystyle y=3sin2x+1$ for $\displaystyle 0<x<\frac{3}{2}\pi$

then,using the same axes,sketch the suitable straight line to find the number of solutions for the equation $\displaystyle {3\pi}sin2x=2x$ for $\displaystyle 0<x<\frac{3}{2}\pi$.State the number of solutions..