Question

1/(x-1)-1/x=1/(x+3)-1/(x+4)​

Answer 1

Step-by-step explanation:

$\frac{1}{( x - 1)} - \frac{1}{(x)} = \frac{1}{(x + 3)} - \frac{1}{(x + 4)} \\ \\ \frac{1 - 1}{x - 1} = \frac{4 -3 }{x + 12} \\ \\ x - 12 = 4x - 3 \\ \\ x - 4x = - 3 + 12 \\ \\ - 3x = 9 \\ \\ x = \frac{9}{ - 3} \\ \\ x = - 3$

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