Is it possible?

Algebra Level 4

Find the sum of all solutions of the following equation: 1­4x+1­7x9=1­5x3+1­6x6.\frac { 1 }{ ­\sqrt{ 4x } } +\frac { 1 }{ ­\sqrt{ 7x-9 } } =\frac { 1 }{ ­\sqrt{ 5x-3 } } +\frac { 1 }{ ­\sqrt { 6x-6}} .

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