# Question 7d5e7

Sep 21, 2017

See below.

#### Explanation:

$\frac{4}{5} = 3 x + \frac{1}{5}$

Multiply right through by 5 to clear the fractions:

$\cancel{\textcolor{red}{5}} \frac{4}{\cancel{\textcolor{red}{5}}} = \left(5\right) 3 x + \frac{\cancel{\textcolor{red}{5}} 1}{\cancel{\textcolor{red}{5}}}$

$4 = 15 x + 1$

Subtract 1 from both sides:

$3 = 15 x$

Divide both sides by $15$

3/15 = (cancel(color(red)(15))x)/cancel(color(red)(15)#

$x = \frac{3}{15} = \textcolor{b l u e}{\frac{1}{5}}$