Ones on Each Side

Number Theory Level pending

Let \( x \) be a five digit number. (This implies that \(x\) is a positive integer, with \( 9999 < x < 100000 \) ) If the number \( 1 \) was written in front of \( x \), then it would be one third of if the number \( 1 \) was written at the end of \( x \). (For example, writing the number \(1 \) in front of \( 576\) would be \( 1576\), and writing it at the end would be \( 5761\)).

What is \( x \)?

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