Question

1/x-1+ 1/x+2 =7/20

Answer 1

\[\frac{1}{x - 1} + \frac{1}{x+2} = \frac{7}{20}\]

Answer 2

\[\frac{20}{x - 1} + \frac{20}{x + 2} = 7\]

Answer 3

\[\frac{20}{x - 1} + \frac{20}{x + 2} - 7 = 0\]
\[\frac{20}{x - 1} + \frac{20}{x + 2} - \frac{7(x + 2)}{x + 2} = 0\]
\[\frac{20}{x - 1} + \frac{20 - 7(x + 2)}{x + 2} = 0\]
\[\frac{20}{x - 1} + \frac{20 - 7x - 14}{x + 2} = 0\]
\[\frac{20}{x - 1} + \frac{6 - 7x}{x + 2} = 0\]
\[\frac{20}{x - 1} - \frac{7x - 6}{x + 2} = 0\]
\[\frac{20}{x - 1} = \frac{7x - 6}{x + 2}\]

Answer 4

Then cross multiply and finish solving for x.

Answer 5

Thank you very much (: