已知数列\(\{a_{n}\}\)是公差\(d\)不为\(0\)的等差数列，若\(\{a_{n}\}\)满足\(2a_{2}-a_{1}=6\)，且\(a_{1}\)，\(a_{2}\)，\(a_{4}\)成等比数列．
\((1)\)求数列\(\{a_{n}\}\)的通项公式；
\((2)\)设数列\(\{b_{n}\}\)是各项均为正数的等比数列，且\(b_{2}=a_{1}\)，\(b_{4}=a_{4}\)，求数列\(\{a_{n}+b_{n}\}\)的前\(n\)项和\(T_{n}.\)