How to remove a line from a text file

Hello. I am creating a program that opens, saves or deletes links. However, although I can remove the selected item from the list of links, I can not delete the line from the file that corresponds to the selected item. I researched SOEN and found no enlightening results, and fileinput did not work either. Code:

    # -*- coding: cp1252 -*-
from __future__ import print_function
from Tkinter import *
import threading
import urllib
import webbrowser
import os
import fileinput

root = Tk()

root.focus_force()

#define o tamanho da janela:
root.minsize(700,500)
root.maxsize(700,500)

#variaveis globais:
global texto_link
global meter_links
global listbox

#variavel de continuação de funçoes:
hiperlink = True
hipertrue = True
supertrue = True

#vaiavel de atualizacao:
atualiza = True

#lista temporária de links:
lista = []

#titulo da janela
root.title("Links Úteis - FastLabPyTool")

#icone do canto:
root.wm_iconbitmap('icone.ico')

#texto auxiliar:
def texto_auxiliar():
    texto_link = Label(root, text = "Insere aqui o Link:", font = "Arial 10")
    texto_link.place(x = 30, y = 50)
texto_auxiliar()

#insere caixas de texto:
meter_links = Entry(root, width = 70, fg = "blue")
meter_links.place(x = 150, y = 50)

#Ficheiro:
filename = "linkers.txt"

#coloca a lista de links:
def lista_links(f, line, item):
    listbox = Listbox(root, width = 105, height = 20, bg = "cyan", fg = "blue")
    with open(filename, "r") as f:
        f = f.readlines()
        for line in f:
            listbox.insert(END, line)
        listbox.bind('<Button-3>', lambda event: eventos_linkers(event, line, f, listbox, line, item))  
    listbox.place(x = 20, y = 100)
lista_links(hiperlink, hipertrue, supertrue)

#conecta o link à internet:
def link_conections(listbox):
    items = listbox.curselection()
    for item in items:
        item = listbox.get(item)
        webbrowser.get("C:/Program Files (x86)/Google/Chrome/Application/chrome.exe %s").open(item)

#apaga os links seleccionados do arquivo:
def delete_links_arq(listbox, line, item):
    f = open(filename, "r")
    lines = f.readlines()
    f.close()
    f = open(filename, "w")
    for line in lines:
        if item in line:
            f.write(item.replace(line, ''))
            f.close()

    """for line in fileinput.input(filename, inplace=True):
        if ( line):
           continue
        print (line, end='')"""

#apaga os links:
def delete_links(listbox, items, f, line, item):
    items = listbox.curselection()
    for item in items:
        listbox.delete(item, item)
        items = listbox.curselection()
        item = listbox.get(item)
        delete_links_arq(listbox, line, item)       

#abre opções de linker através de eventos:
def eventos_linkers(event, items, f, listbox, line, item):
    link_options = ["Abrir Hiperligação", "Eliminar Hiperligação"]
    menu_options = Menu(root)
    menubar = Menu(root, tearoff = 0)
    menubar.add_cascade(label = link_options[0], command = lambda: link_conections(listbox))
    menubar.add_cascade(label = link_options[1], command = lambda: delete_links(listbox, items, f, line, item))
    menubar.tk_popup(event.x_root, event.y_root)

#decide se a caixa de texto contem um link:
def links_name(f, line, item):
    texto = meter_links.get()
    abrir = open(filename, "a")
    if (len(str(texto))) > 0:
        abrir.write((texto) + "\n")
        abrir.close()
        texto = 0
        lista_links(f, line, item)
links_name(hiperlink, hipertrue, supertrue)

#coloca os botoes:
def botoes(f, line, item):
    botao_submit = Button(root, text = "Guardar Link", bg = "cyan", fg = "black", command = lambda: links_name(f, line, item))
    botao_submit.place(x = 600, y = 45)
botoes(hiperlink, hipertrue, supertrue)

#Apenas se valer mesmo a pena :)
"""
#cria um proceso no CPU:
def processo():
    try:
        processar = thread.start_new_thread( print_time, ("Thread-1", 2, ) )
        processar.start()
    except:
        print "ERRO: Impossível criar processo!"
processo()
"""
#acaba o programa:
root.lift()
root.mainloop()