I\'m having troubles installing Nokogiri (1.6.8.1) on Mac OS Sierra 10.12.
I tried using brew install libxml2 libxslt and then referencing the install direc         
        
If you have earlier installed nokogiri using bundler with bundle config build.nokogiri --use-system-libraries this setting will still be there. If you then meanwhile have solved your Xcode setup (as suggested as the primary method of installation in the nokogiri installation) then you might wanna try removing that fra from bundler bundle config --delete build.nokogiri and try again doing bundle install.
Open Xcode and, from the menu XCode -> Preferences update your Command Line Tools (Xcode 8.0). 
Then do:
bundle config build.nokogiri --use-system-libraries=true --with-xml2-include="$(xcrun --show-sdk-path)"/usr/include/libxml2
bundle install
or just:
gem install nokogiri -v 1.6.8.1 -- --use-system-libraries=true --with-xml2-include="$(xcrun --show-sdk-path)"/usr/include/libxml2