Related su Esodo 29:48

Since we find that the Torah gives deference to the right hand: in regard to service in the Temple⁸The priest used his right hand when he performed the necessary sacrificial rituals such as the sprinking of the blood. and in regard to the thumb and big toe referred to in the milu'im⁹When Aaron and his sons were consecrated, blood was applied to their right thumbs and big toes. and purification of the metzora and in the mitzvah of chalitzah;¹⁰See Deuteronomy 25:5–10; Maseches Yevamos 104a. therefore in dressing and in other activities you should begin with the right [hand or foot] as opposed to the left [hand or foot.] When removing shoes or other clothing you should first remove the left (because this shows respect for the right.) However, in regard to tying [a lace] the left is held in higher esteem because we tie the tefillin on the left [hand]. Therefore when you tie your shoes, you should first tie the left. For example, with shoes that must be tied, put on the right shoe without tying it, and then the left shoe and tie it, and then tie the right shoe. This also applies to other clothing.¹¹According to Mishnah Berurah this applies only to the shoes.