Given the points \(A(\alpha,3)\), \(B(-2,1)\) and \(C(3,2)\) find the possible values of \(\alpha\) if the length of \(AB\) is twice the length of \(BC\).

Given the points \(A(\alpha,3)\), \(B(-2,1)\) and \(C(3,2)\) find the possible values of \(\alpha\) if the length of \(AB\) is twice the length of \(BC\).