Edit: Due to the fact that this article is old, the installation instructions may not work anymore. In order to successfully install the latest version of Palemoon, please access the palemoon tag and open the latest article (the one on top).

The latest installation instructions for Palemoon
Hello Linux Geeksters. As you may know, Pale Moon is an open-source, cross-platform browser based on Mozilla Firefox, being up to 25% faster then the original. The latest version available is Pale Moon 24.5.0, which has been recently released, coming with a bunch of optimizations, better support for third party extensions from Mozilla, and some bug-fixes.
In this article I will show you how to install Pale Moon 24.5.0 on Ubuntu, Linux Mint, Elementary OS, Pinguy OS, Debian, Fedora, CentOS, OpenSUSE, Mageia, OpenMandriva and Arch Linux.
Because Pale Moon 24.5.0 is not available via any repository yet, we have to download Pale Moon from the project’s site, extract the archive, move to /opt and alias the launcher.
Follow the instructions for your system’s architecture exactly, in order to get a successful installation.
How to install Pale moon 24.5.0 on 32 bit Ubuntu, Linux Mint, Elementary OS, Pinguy OS, Debian, Fedora, CentOS, OpenSUSE, Mageia, OpenMandriva and Arch Linux:
$ wget sourceforge.net/projects/pm4linux/files/24.5.0/palemoon-24.5.0.en-US.linux-i686.tar.bz2
$ tar -xjvf palemoon-24.5.0.en-US.linux-i686.tar.bz2
$ sudo rm -rf /opt/palemoon*
$ sudo mv palemoon /opt/palemoon24.5.0
$ sudo ln -sf /opt/palemoon24.5.0/palemoon /usr/bin/palemoon
Next, to start the Pale Moon browser, type palemoon in your terminal.
How to install Pale moon 24.5.0 on 64 bit Ubuntu, Linux Mint, Elementary OS, Pinguy OS, Debian, Fedora, CentOS, OpenSUSE, Mageia, OpenMandriva and Arch Linux:
$ wget sourceforge.net/projects/pm4linux/files/24.5.0/palemoon-24.5.0.en-US.linux-x86_64.tar.bz2
$ tar -xjvf palemoon-24.5.0.en-US.linux-x86_64.tar.bz2
$ sudo rm -rf /opt/palemoon*
$ sudo mv palemoon /opt/palemoon24.5.0
$ sudo ln -sf /opt/palemoon24.5.0/palemoon /usr/bin/palemoon
Next, to start the Pale Moon browser, type palemoon in your terminal.