I followed the solution above from Jonas and it worked well until I needed to add a second column. What I found is that when making the columns visible again Oracle does not necessarily set them visible in the order listed in the statement.
To demonstrate this follow Jonas' example above. As he showed, once the steps are complete the table is in the order that you'd expect. Things then break down when you add another column as shown below:
Example (continued from Jonas'):
Add another column which is to be inserted before column C.
ALTER TABLE t ADD (b2 INT);
Use the technique demonstrated above to move the newly added B2 column before column C.
ALTER TABLE t MODIFY (c INVISIBLE, d INVISIBLE, e INVISIBLE);
ALTER TABLE t MODIFY (c VISIBLE, d VISIBLE, e VISIBLE);
DESCRIBE t;
Name
----
A
B
B2
D
E
C
As shown above column C has moved to the end. It seems that the ALTER TABLE statement above processed the columns in the order D, E, C rather than in the order specified in the statement (perhaps in physical table order). To ensure that the column is placed where desired it is necessary to make the columns visible one by one in the desired order.
ALTER TABLE t MODIFY (c INVISIBLE, d INVISIBLE, e INVISIBLE);
ALTER TABLE t MODIFY c VISIBLE;
ALTER TABLE t MODIFY d VISIBLE;
ALTER TABLE t MODIFY e VISIBLE;
DESCRIBE t;
Name
----
A
B
B2
C
D
E