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9^x-2*3^(x+1)+4*1/(3^x-5)+2*3^(x+1)-51/(3^x-9)<3^x+5 inequation

A inequation with variable

The solution

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 x      x + 1     4         x + 1     51      x    
9  - 2*3      + ------ + 2*3      - ------ < 3  + 5
                 x                   x             
                3  - 5              3  - 9         
$$\left(2 \cdot 3^{x + 1} + \left(\left(- 2 \cdot 3^{x + 1} + 9^{x}\right) + \frac{4}{3^{x} - 5}\right)\right) - \frac{51}{3^{x} - 9} < 3^{x} + 5$$
2*3^(x + 1) - 2*3^(x + 1) + 9^x + 4/(3^x - 5) - 51/(3^x - 9) < 3^x + 5
Solving inequality on a graph