Answer
$x=15$
Work Step by Step
For easier work, it is better to get rid of the fractions.
This can be achieved by multiplying the LCD $30$ on both sides of the equation to obtain:
$30(\frac{x}{5}-\frac{1}{2}) = 30(\frac{x}{6})
\\\frac{30x}{5} - \frac{30}{2} = \frac{30x}{6}
\\6x - 15 = 5x$
Add $15$ and subtract $5x$ on both sides to obtain:
$6x-5x=15
\\x=15$
Check:
$\begin{array}{ccc}
&\frac{15}{5} - \frac{1}{2} &= &\frac{15}{6}
\\&3-\frac{1}{2} &= &\frac{5}{2}
\\&\frac{6}{2}-\frac{1}{2} &= &\frac{5}{2}
\\&\frac{5}{2} &= &\frac{5}{2}\end{array}$
