The equation to solve:
[tex]x-0.1x=54[/tex]We can subtract the like terms on the left hand side:
[tex]\begin{gathered} (1-0.1)x=54 \\ 0.9x=54 \end{gathered}[/tex]Now, we can divide both sides by 0.9 and solve for x. Shown below:
[tex]\begin{gathered} \frac{0.9x}{0.9}=\frac{54}{0.9} \\ x=60 \end{gathered}[/tex]The answer is
[tex]x=60[/tex]