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Taking x as i+n where i is an integer and 0<=n<1.......
Simplification leads to
8n = 4 - 5i
RHS is an integer, so LHS must be too.......hence, n can be 1/8,2/8,3/8,4/8,5/8,6/8,7/8
Checking all these, only 4/8 satisfies.........hence i=0.........
Hence, x = 0.5