#### Answer

$x=30$

#### 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:
$30(\frac{x}{5}) = 30(\frac{x}{6}+1)
\\\frac{30x}{5} = \frac{30x}{6} +30
\\6x = 5x +30$
Subtract $5x$ on both sidesto obtain:
$6x-5x=30
\\x=30$
Check:
$\begin{array}{ccc}
&\frac{30}{5} &= &\frac{30}{6} +1
\\&6 &= &5+1
\\&6 &= &6
\end{array}$