  Group classification of classes of mKdV-like equations with time-dependent
coefficients is carried out. The usage of equivalence transformations appears a
crucial point for the exhaustive solution of the problem. We prove that all the
classes under consideration are normalized. This allows us to formulate the
classification results in three ways: up to two kinds of equivalence (which are
generated by transformations from the corresponding equivalence groups and all
admissible point transformations) and using no equivalence. A simple way of the
construction of exact solutions of mKdV-like equations using equivalence
transformations is described.
