  This paper presents a classification of 7-dimensional real and complex
indecomposable solvable Lie algebras having some 5-dimensional nilradicals.
Afterwards, we combine our results with those of Rubin and Winternitz (1993),
Ndogmo and Winternitz (1994), Snobl and Winternitz (2005, 2009), Snobl and
Kar\'asek (2010) to obtain a complete classification of 7-dimensional real and
complex indecomposable solvable Lie algebras with 5-dimensional nilradicals. In
association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we
achieve a classification of 7-dimensional real and complex indecomposable
solvable Lie algebras.
