# How do you simplify 6/(7x)-(5+x)/(7x)?

Jan 14, 2017

$\frac{1}{7} \left(\frac{1}{x} - 1\right)$. ($x \ne 0$)

#### Explanation:

The denominator in both fractions is the same. So, we can just subtract the numerators to get

$\frac{6 - \left(5 + x\right)}{7 x}$ = $\frac{1 - x}{7 x}$.

If we want, we can break up the fractions, then cancel the $x$'s

$\frac{1}{7 x} - \frac{1}{7}$

We could even factor out a $\frac{1}{7}$ to get

$\frac{1}{7} \left(\frac{1}{x} - 1\right)$