a)$ x + (-\frac{2}{5}) = \frac{-1}{3}$
$ x = \frac{-1}{3} - (-\frac{2}{5})$
$x = \frac{1}{15}$.
b) $0.5 - x = \frac{-5}{14}$
$x = 0.5 - \frac{-5}{14}$
$x = \frac{6}{7}$
c) $(-0.4) \times (2x + \frac{2}{5}) = -9.4$
$2x = [-9.4 / (-0.4)] - \frac{2}{5}$
$2x = \frac{231}{10}$
$x = \frac{231}{20}$
d)$ (\frac{3}{2} - x) / \frac{-14}{3} = \frac{-6}{7}.$
$ \frac{3}{2} - x = \frac{-6}{7} \times \frac{-14}{3} $
$ \frac{3}{2} - x = 4$
$x = \frac{3}{2} - 4 = \frac{-5}{2}$