If the governing body of a municipality considers that assessing and apportioning costs as provided by Section 315.062 would be unjust or unequal in a particular case, the governing body shall assess and apportion the costs justly and equally, considering the special benefit to each owner, the equities of the owners, and the adjustment of the apportionment, so as to produce a substantial equality of benefits received by and burdens imposed on each owner.
Tex. Transp. Code § 315.063