Cellular homology produce the same result with either CW-decompositions

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Suppose you have two CW-decompositions for the same space $X$.Show that cellular homology produce the same result with either CW-decompositions.

Could anyone give me a hint about the proof or tell me if it is in Hatcher?

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As Paul suggested, I will copy my comment as an answer (since it could be the one of the solutions you are looking for):

It is in Hatcher since he proves that cellular homology is isomorphic to singular homology, which depends only of the topology.