Answer
$x \gt -\frac{21}{2}$
Work Step by Step
Add $5$ to each side of the inequality to isolate the constants on one side of the inequality:
$-2x \lt 21$
Divide each side by $-2$ to solve for $x$. When we divide by a negative number in an inequality, we switch the sign to the opposite sign:
$x \gt -\frac{21}{2}$