Explanation
Let's try to isolate x.
2|x+3|+9 = 5
2|x+3| = 5-9
2|x+3| = -4
|x+3| = -4/2
|x+3| = -2
We run into a problem. The left hand side is never negative. Recall that the main idea about absolute value is to turn a negative into a positive (for example |-7| = 7). This is because absolute value represents distance on a number line. Negative distance isn't valid.
Since the left side is never negative, it means the last equation is never true. This causes a chain reaction or domino effect to make the first equation always false.
No matter what we pick for x, we'll never be able to make 2|x+3|+9 = 5 to be true.
This is why the answer is no solutions
