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I think your question is ->
(3x - 7)/(5 - 3x) + 7/4 = (5x - 9)/(8 - 3x) + 9/6
⇒{4(3x - 7) + 7(5 - 3x)}/4(5 - 3x) = (5x - 9)/(8 - 3x) + 3/2
⇒{12x - 28 + 35 - 21x}/4(5 - 3x) = {2(5x - 9) + 3(8 - 3x)}/2(8 - 3x)
⇒{- 9x + 7}/4(5 - 3x) = {10x - 18 + 24 - 9x}/2(8 - 3x)
⇒(-9x + 7)/2(5 - 3x) = (x + 6)/(8 - 3x)
⇒(-9x + 7)(8 - 3x) = 2(x + 6)(5 - 3x)
⇒-72x + 27x² + 56 - 21x = 2{5x - 3x² + 30 - 18x}
⇒27x² - 93x + 56 = -6x² - 26x + 60
⇒33x² - 67x - 4 = 0
⇒ x = {67 ± √(67² + 4 × 4 × 33)}/66
= {67 ± √(5017)}/66
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