Answer
\[x=\frac{15}{2}\]
Work Step by Step
Consider the equation
\[\frac{5}{8}=\frac{x}{12}\]
The LCM of both the denominators of the above equation is 24 so multiply by 24 on both the sides of the equation
\[\begin{align}
& \frac{5}{8}\times 24=\frac{x}{12}\times 24 \\
& 15=2x
\end{align}\]
Divide both the sides by 2
\[x=\frac{15}{2}\]
Now, to check it, put \[x=\frac{15}{2}\]in the equation
\[\begin{align}
& \frac{5}{8}=\frac{x}{12} \\
& \frac{5}{8}=\frac{15}{2\times 12} \\
& \frac{5}{8}=\frac{15}{24} \\
& \frac{5}{8}=\frac{5}{8}
\end{align}\]
which is true.
Hence, required solution is\[x=\frac{15}{2}\].
