Question

4/x-3x=5/2x+3 solve it by factorization method
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Answer 1

$\huge\mathbb\red{Solution}$

$\frac{4}{x - 3} = \frac{5}{2x + 3} \\ \\ 4(2x + 3) = 5(x - 3) \\ \\ 8x + 12 = 5x - 15 \\ \\ 8x - 5x = - 15 - 12 \\ \\ 3x = - 27 \\ \\ x = \frac{ - 27}{3} \\ \\ x = - 9$

$\huge\boxed{\boxed{\boxed{\boxed{\red{x = -9}}}}}$