Powershell script to Delete Document By ID in SharePoint 2010

Below is the Powershell script to delete document by ID from Document Library

[System.Reflection.Assembly]::LoadWithPartialName("Microsoft.SharePoint")

$site = new-object Microsoft.SharePoint.SPSite("http://sharepoint-site-url")

$web = $site.openweb()

$list=$web.Lists["Document-Library-Name"]

$listItems = $list.Items

$listItemsTotal = $listItems.Count

Write-Host $listItemsTotal

for ($x=$listItemsTotal-1;$x -ge 0; $x--)

  {

    if($listItems[$x].id -eq 777) # 777 is the ID of the document

    {

      Write-Host("DELETED: " + $listItems[$x].name)

      $listItems[$x].Delete()

    }

  }