Assuming Lenovo X1 Carbon 2015…

• Install xorg:

  pacman -S xorg-server xorg-server-utils xorg-xinit xorg-xclock xterm  xorg-fonts-100dpi

• Install driver:

  $ lspci | grep -e VGA -e 3D
  00:02.0 VGA compatible controller: Intel Corporation Broadwell-U Integrated Graphics (rev 09)
  
  $ pacman -Ss xf86-video
  
  $ pacman -S xf86-video-intel

• To work around a screen flicker bug:

  vi /etc/default/grub
  GRUB_CMDLINE_LINUX_DEFAULT="i915.enable_ips=0"
  
  grub-mkconfig -o /boot/grub/grub.cfg

• Install libva:

  pacman -S libva-intel-driver libva

• Install touchpad driver:

  pacman -S xf86-input-synaptics

• Install i3 package group:

  pacman -S i3

• Edit xinitrc and add i3:

  cp /etc/X11/xinit/xinitrc ~/.xinitrc
  vi ~/.xinitrc
  # exec i3

• Configure Xorg DPI:

  vi /etc/X11/xorg.conf.d/90-monitor.conf
  
  Section "Monitor"
      Identifier             "<default monitor>"
      DisplaySize            309 174    # In millimeters
  EndSection

• Install better terminal:

  pacman -S rxvt-unicode