Answer
$(-3,\infty)$
Work Step by Step
$$-2(x-1)-12<2(x+1)$$
Remove both parenthesis:
$$-2x+2-12<2x+2$$
Group variables on the left and numbers on the right:
$$-2x-2x<2-2+12$$
$$-4x<12$$
Divide both sides by $-4$ and change inequality sign:
$$x>12:(-4)$$
$$x>-3$$
Interval Notation:
$$(-3,\infty)$$
