Synonyms of 'overstate'
exaggerateDictionary, overdo, overestimate
The importance of health education cannot be overstated.
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If you exaggerate, you indicate that something is, for example, worse or more important than it really is.
He tends to exaggerate the importance of his job.
pile it on about (informal)
blow up out of all proportion
lay it on thick about (informal)
lay it on with a trowel about (informal)
make a production (out) of (informal)
make a federal case of (US , informal)
If someone overdoes something, they behave in an exaggerated or extreme way.
He overdid his usually quite funny vitriol.
If you say that someone overemphasizes something, you mean that they give it more importance than it deserves or than you consider appropriate.
Freud overemphasized the role of sexual motivation of behaviour.
Thesaurus for overstate from the Collins English Thesaurus
If you say that someone is overstating something, you mean they are describing it in a way that makes it seem more important or serious than it really is.