To divide x by 2x², we can rewrite the expression as x/2x².

To simplify this expression, we can cancel out common factors in the numerator and denominator. In this case, both x and 2x² have a common factor of x.

So, we can cancel out the x in the numerator and denominator, resulting in 1/2x.

Therefore, x divided by 2x² is equal to 1/2x.