Start by multiplying both sides of the equality by x
[tex]\begin{gathered} x\cdot\frac{3}{x}=\frac{9}{10}\cdot x \\ 3=\frac{9x}{10} \end{gathered}[/tex]Multiply boths sides by 10
[tex]\begin{gathered} 3\cdot10=\frac{9x}{10}\cdot10 \\ 30=9x \end{gathered}[/tex]divide both sides by 9
[tex]\begin{gathered} \frac{30}{9}=\frac{9x}{9} \\ \frac{30}{9}=x \end{gathered}[/tex]simplify the expression
[tex]\begin{gathered} x=\frac{30}{9} \\ x=\frac{10}{3} \end{gathered}[/tex]