Answer :

[tex](m-2)-5=8-2(m-4) \\ \\ m-2-5=8-2m+8 \\ \\ m-7=-2m+16 \\ \\ m+2m=16+7 \\ \\ 3m=24 \\ \\ \boxed{m=\frac{24}{3}=8}[/tex]

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