6^x+6^x+1=2^x+2^x+1+2^x+2

6^x + 6^x+1 = 2^x + 2^x+1 + 2^x+2
6^x * (1 + 6) = 2^x * (1 + 2 + 4)
6^x = 2^x
3^x = 1
3^x = 3^0
x = 0