#### Answer

$x=-\frac{9}{10}$

#### Work Step by Step

$9x+\frac{1}{5}-8x=-\frac{7}{10}$
$9x-8x+\frac{1}{5}=-\frac{7}{10}$
$x+\frac{1}{5}=-\frac{7}{10}$
$x+\frac{1}{5}-\frac{1}{5}=-\frac{7}{10}-\frac{1}{5}$
$x=-\frac{7}{10}-\frac{2}{10}$
$x=-(\frac{7}{10}+\frac{2}{10})$
$x=-\frac{9}{10}$