5^x-1 = 10^x 2^-x × 5^x+1

Question

5^x-1 = 10^x 2^-x × 5^x+1

Answer 1

5^x/5=(5^x*2^x)/2^x*5*5^x
5^x/5=5^2x*5
5^x=5^2x*25
5^x=5^(2x+2)
x=2x+2
2x-x=-2
x=-2