input type search hide x code example
Example: input type search remove x
/* clears the 'X' from Internet Explorer */
input[type=search]::-ms-clear { display: none; width : 0; height: 0; }
input[type=search]::-ms-reveal { display: none; width : 0; height: 0; }
/* clears the 'X' from Chrome */
input[type="search"]::-webkit-search-decoration,
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-results-button,
input[type="search"]::-webkit-search-results-decoration { display: none; }