I'm a beginner in jQuery ,I wana execute an animation but I don't know which jquery library I should to use

I attach this two images to explain what I want :

in image1 the content of my page contains two div ,in div1 when I click on one of the rectangulars I want the div1 and div2 move with an animaton to the left slowly, to cause hidden the div2 and replacement div1 in the place of div2,and display another div :div-details to locate in the place of div1 to the right of content>>the result is  like in this image2,

I hope u understand what I want,

 please  point me to references or examples in this topic

Thanks a lot.