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# Algebra

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Find x + 1/x if 3x + 2x = 2(x + 9) - 7 + x

Nov 17, 2022

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3x + 2x = 2(x + 9) - 7 + x

5x = 2x + 18 - 7 + x

2x = 11

x = 11/2

We are looking for x + 1/x = 11/2 + 2/11.

$${11\over2} + {2\over11} = {121\over22} + {4\over22} = {125\over22}$$

Nov 17, 2022