设数列\(\{a\)\({\,\!}_{n}\)\(\}(n=1,2,3,…)\)的前\(n\)项和\(S\)\({\,\!}_{n}\)满足\(S\)\({\,\!}_{n}\)\(+a\)\({\,\!}_{1}\)\(=2a\)\({\,\!}_{n}\)，且\(a\)\({\,\!}_{1}\)，\(a\)\({\,\!}_{2}\)\(+1\)，\(a\)\({\,\!}_{3}\)成等差数列，则\(a\)\({\,\!}_{1}\)\(+a\)\({\,\!}_{5}\)\(=\)________．
