Rear brake lever on left side route cables so it is on the right
I bought a bike in Taiwan a few years ago and it came with the rear brake lever on the left side. I am used to this but as I am now replacing the rear brake cable I am looking at routing the cables so the rear brake lever is on the right.
The housing is buried under the handlebar tape and I don't want to mess with that.
The front brake housing goes all the way to the brake and the rear brake housing goes to the frame attachment and thus is shorter. Conceptually it would seem to be possible to:
* cut the front brake housing to the length of the rear brake housing and route it to the rear brake attachment thus making it the new rear brake
* thread the cut off part of the old front brake housing over the old rear brake cable and route it to the front brake. Back-to-back ferrules would be needed
This seems simple enough but are there any gotchas?