What is the missing digit in this 3x5 table?

The problem is as follows:

The figure from below shows a sequence of numbers ordered in a tabular
form. Find the next term labeled x.

Transcription:
4, 3, 2, 5, 6
5, 6, 9, 2, 4
11, 9, 7, x, 14

The alternatives given in my book are as follows:

1. 11
2. 9
3. 3
4. 5
5. 8

This peculiar problem I found it in my puzzles book Reason and Logic from 2000’s. From the looks of it seems to be an adaptation of the riddles featured in a reprinted copy of Martin Gardner’s 50’s book of Recreational puzzles.

On reading my book there is a part where it mentions that there isn’t really a specific method to solve this. However by looking some solved puzzles it seems that the author intends that a pattern will emerge if you look at the columns in the arrangement.

I attempted to do this and it worked but for some:

Let’s say the first column it could be:

4 x 2 + 3 = 11

3 x 2 + 3 = 9

2 x 2 + 3 = 7

But it failed in the fifth column as 6 x 2 + 3 ≠ 14

Another suggestion given in the book was to label the columns in the arrangement 1, 2, 3, 4, 5, and then use these numbers to match the numbers in the third row. I attempted different combinations using squared those digits, sums and differences and still nothing.

I already attempted to look into the OEIS but it didn’t helped much.

Can someone help me with this puzzle? Is there a pattern, or something else which I haven’t noticed, that could be used to logically find the answer? Please try to be the most detailed as possible in your answer and include a step by step explanation as I feel lost in this one.