Factorial

Number Theory Level 2

Find the integer xx satisfying 4(x+1)!=(2x−6)! x!4(x+1)! = (2x-6)! \, x! .

Notation: !! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 .

Ahmed Mohamed by Ahmed Mohamed
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