# How do you solve 14-1/5(j-10)=2/5(25+j)?

May 5, 2018

$j = 10$

#### Explanation:

$14 - \frac{1}{5} j + \frac{1}{5} \left(10\right) = \frac{2}{5} \left(25\right) + \frac{2}{5} j$
$14 + 2 - \frac{1}{5} j = 10 + \frac{2}{5} j$
Shift $j$ to the left side and numbers to the right
$- \frac{1}{5} j - \frac{2}{5} j = 10 - 14 - 2$
$- \frac{3}{5} j = - 6$
Divide both sides by $- \frac{3}{5}$
$\frac{- \frac{3}{5} j}{- \frac{3}{5}} = \frac{- 6}{- \frac{3}{5}}$
$j = 10$