#### Answer

$x=-\frac{9}{14}$

#### Work Step by Step

$11x-\frac{2}{7}-10x=-\frac{13}{14}$
$x-\frac{2}{7}=-\frac{13}{14}$
$x-\frac{2}{7}+\frac{2}{7}=-\frac{13}{14}+\frac{2}{7}$
$x=-(\frac{13}{14}-\frac{2}{7})$
$x=-(\frac{13}{14}-\frac{4}{14})$
$x=-\frac{9}{14}$