If 2(3x-2) < 6-3x and 6x + 2(6-x) > 2x-2, then x can take which of the following values?

Expression 1 : 2(3x-2) < 6-3x

=> $$6x - 4$$ < $$6 - 3x$$

=> $$6x + 3x$$ < $$6 + 4$$ => $$9x$$ < $$10$$

=> $$x$$ < $$\frac{10}{9}$$

Expression 2 : 6x + 2(6-x) > 2x-2

=> $$6x + 12 - 2x$$ > $$2x - 2$$

=> $$4x - 2x$$ > $$-2 - 12$$ => $$2x$$ > $$-14$$

=> $$x$$ > $$\frac{-14}{2}$$ > $$-7$$

Combining above inequalities, $$-7$$ < $$x$$ < $$\frac{10}{9}$$

The only number that satisfies above inequality is -5

=> Ans - (D)