\(5.\left(x-1\right)-206=2^4.4\\ \Rightarrow5.\left(x-1\right)-206=16.4\\ \Rightarrow5.\left(x-1\right)-206=64\\ \Rightarrow5.\left(x-1\right)=270\\ \Rightarrow x-1=54\\ \Rightarrow x=55.\)
5.(\(x-1\)) - 206 = 24.4
5.(\(x-1\)) - 206 = 64
5.(\(x-1\)) = 64 + 206
5.(\(x-1\)) = 270
\(x-1\) = 270 : 5
\(x-1\) = 54
\(x=55\)
\(5.\left(x-1\right)-206=2^4.4\)
\(5.\left(x-1\right)-206=64\)
\(5.\left(x-1\right)=64+206\)
\(5.\left(x-1\right)=270\)
\(x-1=270:5\)
\(x-1=54\)
\(x=54+1\)
\(x=55\)