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Question
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
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Solution
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
`=> (1(x + 2)-2(x + 1))/((x + 1)(x + 2)) = (3(x + 4)- 4(x + 3))/((x + 3)(x + 4))`
`=> (-x)/(x^2 + 3x + 2) = (-x)/(x^2 + 7x + 12)`
`=> -x[x^2 + 3x + 2 = x^2 + 7x + 12]`
`=> -x[-4x = 10]`
`=> x = 0` and `x = (-10)/4 = -2.5`
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