The dirt present on clothes is organic in nature and insoluble in water therefore it cannot be removed by only washing with water when soap is dissolved in water its hydrophobic ends attach themselves to the dirt and remove it from the cloth then the molecules of soap arrange themselves in micelle formation and trap the dirt at the centre of the cluster these micelles remain suspended in water hence the dust particles are easily rinsed away by water Master Manish this is your questions answer
In cleaning action of soaps the carbon chain dissolves in oil and ionic end dissolves in water