The X + 1 power of 3 and the X + 1 power of 2 are equal to the 2x-3 power of 6,

The X + 1 power of 3 and the X + 1 power of 2 are equal to the 2x-3 power of 6,

3^(x+1)*2^(x+1)=6^(2x-3)
(3*2)^(x+1)=6^(2x-3)
6^(x+1)=6^(2x-3)
x+1=3x-3
2x=4
x=2