Is this meant to read: 2^(2x-3)=2^(x+2)? If so, since the exponents are the same, 2x-3=x+2, making x=5. The original equation then reads 2^7=2^7.
If y=2^(2x-3) * 2^(x+2)=2^(3x-1) (adding the exponents), which relates y and x so can be graphed but not solved (many solutions).