10^x + 4 - 17*10^x + 2 = 83

Question

10^x + 4 - 17*10^x + 2 = 83

Answer 1

10 ^ ( Х + 2 ) • ( 10^2 - 17 ) = 83
10 ^ ( Х + 2 ) = 83 : ( 100 - 17 )
10 ^ ( х + 2 ) = 1
10 ^ ( Х + 2 ) = 10 ^ 0
Х + 2 = 0
Х = - 2