Question 1032427
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You did not present your problem clearly, but if you mean:
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{{{(2)/(x+1)=(1)/(x-2)}}} . Cross multiply.
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{{{2x-4=x+1}}} . Subtract x from each side.
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{{{x-4=1}}} . Add 4 to each side.
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{{{x=5}}}
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CHECK:
For x=5:
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{{{2/(x+1)=1/(x-2)}}}
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{{{2/(5+1)=1/(5-2)}}}
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{{{2/6=1/3}}}
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{{{1/3=1/3}}}