Algebra

4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1).......
Plz help me

4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)

4^x - 3^x/√3 = √3 3^x - 4^x/2
(3/2) 4^x = (√3+1/√3)3^x
(3/2) 4^x = (4/√3) 3^x
(4/3)^x = (8/√27)
(4/3)^x = (4/3)^(3/2)
x = 3/2