We have the next equation
[tex]6x+1.6=58[/tex]We apply the subtraction property of equality with 1.6
[tex]\begin{gathered} 6x+1.6-1.6=58-1.6 \\ 6x=56.4 \end{gathered}[/tex]Then we apply the division property of equality with 6
[tex]\begin{gathered} \frac{6}{6}x=\frac{56.4}{6} \\ x=9.4 \end{gathered}[/tex]ANSWER
x=9.4