Is it possible?

Algebra Level 4

Find the sum of all solutions of the following equation: \[\frac { 1 }{ \sqrt{ 4x } } +\frac { 1 }{ \sqrt{ 7x-9 } } =\frac { 1 }{ \sqrt{ 5x-3 } } +\frac { 1 }{ \sqrt { 6x-6}} .\]