Evaluate: (7)/(x)=(5)/(9)

Expression: $\frac{ 7 }{ x }=\frac{ 5 }{ 9 }$

Determine the defined range

$\begin{array} { l }\frac{ 7 }{ x }=\frac{ 5 }{ 9 },& x≠0\end{array}$

Simplify the equation using cross-multiplication

$63=5x$

Swap the sides of the equation

$5x=63$

Divide both sides of the equation by $5$

$\begin{array} { l }x=\frac{ 63 }{ 5 },& x≠0\end{array}$

Check if the solution is in the defined range

$\begin{align*}&x=\frac{ 63 }{ 5 } \\&\begin{array} { l }x=12 \frac{ 3 }{ 5 },& x=12.6\end{array}\end{align*}$