Answer:
see attached for one possibility
Explanation:
Graphs are equivalent if they have the same structure, but not necessarily the same labeling.
The graph given is one big loop with one of the edges doubled. An equivalent graph is one that can be drawn as one big loop with one of the edges doubled. The attachment shows one way to draw such a graph.
Renaming the vertices of the attached graph to A, C, D, B (clockwise from lower left) will make it equal to the given graph.