If $A,B \subseteq X$, Show that $B=(A\cap B)\cup(B\setminus A)$

My advances

$B=(A\cap B)\cup (B\setminus A)$

$ =(A \cap B)\cup (B \cap\overline{A})$

$ =(A\cap B)\cup (B\cap X)$

$ =(A \cap B)\cup (B)$