Question

solve equation 4x-5/x+2=8x-1/2x+1

Answer 1

i hope this will help you out

Answer 2

$Given \: \frac{4x-5}{x+2} = \frac{8x-1}{2x+1}$

/* Doing Cross multiplication , we get */

$\implies (4x-5)(2x+1) = (8x-1)(x+2)$

$\implies 4x(2x+1)-5(2x+1) = 8x(x+2)-1(x+2)$

$\implies 8x^{2} + 4x - 10x - 5 = 8x^{2}+16x-x-2$

$\implies 8x^{2} - 6x - 5 = 8x^{2}+15x-2$

$\implies 8x^{2} - 6x - 8x^{2}-15x = -2 +5$

$\implies -21x = 3$

$\implies x = \frac{3}{-21}$

$\implies x = \frac{-1}{7}$

Therefore.,

$\red { Value \:of \:x } \green {= \frac{-1}{7}}$

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