2|2x - 2| < 20
since the 2 is outside the absolute value, divide it out.
|2x - 2| < 10
there are two answers! I always teach that you should consider the positive and negative of the other side of the inequality. Remember the only rule for inequalities is if you multiply or divide by a negative number the direction of the sign changes.
2x - 2 < 10 or 2x - 2 > -10
2x < 5 or 2x > -5
x < 5/2 or x > -5/2