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\(a\)\({\,\!}_{1}\)\(+a\)\({\,\!}_{5}\)\(=\)________.