#### Answer

x $\lt$ $\frac{7}{4}$

#### Work Step by Step

-2(x - 5) $\gt$ 2(3x - 2)
Distribute:
-2x + 10 $\gt$ 6x - 4
Subtract 6x from both sides:
-8x + 10 $\gt$ -4
Subtract 10 from both sides:
-8x $\gt$ -14
Divide both sides by -8 and change the sign:
x $\lt$ $\frac{14}{8}$
x $\lt$ $\frac{7}{4}$