As a native Detroiter I can confidently tell you that any house you can get for $25,000 will come with externalities that will make the house undesirable on balance.

Large back tax bill, lack of city services (e.g. if live in Springwells, good luck getting a reasonable response time from Detroit PD if you're being burgled) and an unsafe transit situation are the most common ones I can think of.

The houses are cheap for a reason. Its not as though Detroit is filled with provincial oafs that don't know what they're selling.