Question

solve this equation
Find x

Answer 1

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Answer 2

Answer:

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

$= > \: \: \frac{(x - 1)(x + 1) \: + \: (x - 2)(4x) }{(x - 2)(x + 1)} = 5$

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

$= > \: \frac{5 {x}^{2} - 8x - 1}{ {x}^{2} - x - 2} = 5$

$= > \: 5 {x}^{2} - 8x - 1 = 5 {x}^{2} - 5x - 10$

$= > \: - 8x - 1 = - 5x - 10$

$= > \: - 1 + 10 = - 5x + 8x$

$= > \: 3x = 9$

$= > \: x = \frac{9}{3}$

$so... \: \: \: x = 3$

HOPE THIS HELPS ❤️