a) $2x = x + 3$
$\Leftrightarrow x = 3$
b) $-x = 2x + 4$
$\Leftrightarrow -3x = 4$
$\Leftrightarrow x = -\frac{4}{3}$
c) $2x + 9 = -x$
$\Leftrightarrow 3x = 9$
$\Leftrightarrow x = 3$
d) $3x - 2 = 2x - 3$
$\Leftrightarrow x = -1$
e) $3x - 2 = 14 - x$
$\Leftrightarrow 4x = 16$
$\Leftrightarrow x = 4$