द सलूशन ऑफ द इक्वेशन एक्स माइनस वाई इज इक्वल टू फोर
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Step-by-step explanation:
Given equation,
\frac{2x-3}{2x+1}=\frac{3x+1}{3x-1}
By cross multiplication,
(2x-3)(3x-1) = (3x+1)(2x+1)
By distributive property,
2x(3x-1) - 3(3x-1) = 3x(2x+1) + 1(2x+1)
Again by distributive property,
6x^2 - 2x - 9x + 3 = 6x^2 + 3x + 2x +1
-11x+3=5x+1
-11x-5x = 1 - 3
-16x = -2
\implies x=\frac{1}{8}
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