Edit in JSFiddle

<a href="#">Наведите указатель мыши на эту ссылку</a>
a {
	position: relative;
	color: #000;
	text-decoration: none;
	font-size: 24px;
  display:inline-block;
}

a:hover {
	color: #000;
}

a:before {
	content: "";
	position: absolute;
	width: 100%;
	height: 2px;
	bottom: 0;
	left: 0;
	background-color: #000;
  visibility: hidden;

  -webkit-transition: all 0.3s ease-in-out 0s;
  -moz-transition: all 0.3s ease-in-out 0s;
  -o-transition: all 0.3s ease-in-out 0s;
  transition: all 0.3s ease-in-out 0s;
  
  -webkit-transform: scaleX(0);
  -moz-transform: scaleX(0);
  -o-transform: scaleX(0);
  transform: scaleX(0);
}

a:hover:before {
  visibility: visible;
  -webkit-transform: scaleX(1);
  -moz-transform: scaleX(1);
  -o-transform: scaleX(1);
  transform: scaleX(1);
}