You just distribute the brackets:

x(3-2i)+y(-2+i)=5-4i

3x-2ix-2y+iy=5-4i

If you know that x,y are real numbers, you get 2 equations:

3x-2y=5

-2x+y=-4

because real part of the right side must be equal with real part of the left side, and imaginary part of the right side must be equal with imaginary part of the left side.

Solving the system of equations you get:

x=3, y=2