4^x + 2^(2x-2)=5^x -5^(x-1)

Question

4^x + 2^(2x-2)=5^x -5^(x-1)

Answer 1

4^x+4^(x-1)=5^x(1-(1/5))
4^x(1+1/4)=5^x*0,8
4^x*1,25=5^x*0,8
4^x/5^x=0,8/1,25
(4/5)^x=80/125
(4/5)^x=16/25
(4/5)^x=(4^2/5^2)
(4/5)^x=(4/5)^2
x=2
Ответ: x=2