Why is Arabic written from right-to-left, whereas most European languages are written left-to-right?
There is no obvious reason why one way is better than the other in a general sense. It probably relates to the technology in use at the time the writing became standardised. For a right handed person holding a western-style pen, left-to-right makes sense. But for a brush, for example, this is much less true. Classical Japanese, for example, I believe to be “naturally” top to bottom, which is a good way for writing with a brush. So you would have to enquire how early arabic was written.