Solve $5 x - (4 x - 7) (3 x - 5) = 6 - 3 (4 x - 9) (x - 1)$

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Solution

We have,

$5 x - (4 x - 7) (3 x - 5) = 6 - 3 (4 x - 9) (x - 1)$

$\Rightarrow 5 x - (12 x^{2} - 20 x - 21 x + 35) = 6 - 3 (4 x^{2} - 4 x - 9 x + 9)$

$\Rightarrow 5 x - (12 x^{2} - 41 x + 35) = 6 - 3 (4 x^{2} - 13 x + 9)$

$\Rightarrow 5 x - 12 x^{2} + 41 x - 35 = 6 - 12 x^{2} + 39 x - 27$

$\Rightarrow 46 x - 35 = - 21$

$\Rightarrow 46 x - 39 x = 35 - 21$

$\Rightarrow 7 x = 14$

$\Rightarrow x = 2$
Hence, this is the answer.

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