To solve this inequality, we will first find the roots of each factor.

(X-2) = 0
X = 2

(4x+4) = 0
4x = -4
x = -1

(2x-6) = 0
2x = 6
x = 3

Now we can test the intervals created by these roots on the inequality.

For x < -1, all factors are negative, so the inequality holds true.
For -1 < x < 2, only the second factor is negative, so the inequality does not hold true.
For 2 < x < 3, all factors are positive, so the inequality holds true.
For x > 3, the first and last factors are positive, while the second factor is negative, so the inequality does not hold true.

Therefore, the solution to the inequality is x < -1 or 2 < x < 3.