Pure JS equivalent of jQuery .animate()

You can acheive complex animations with pure javascript by using setTimeout and setInterval methods.

Please check here.

Here is the key part of moving an element:

function move(elem) {
    var left = 0
    function frame() {
        left++  // update parameters
        elem.style.left = left + 'px' // show frame
        if (left == 100)  // check finish condition
            clearInterval(id)
    }
    var id = setInterval(frame, 10) // draw every 10ms
}