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Solve for x+1/x. 3x+2/x-4=2(x+9)-(7-1/x)

Solve for x+1/x. 3x+2/x-4=2(x+9)-(7-1/x)-example-1

1 Answer

3 votes

Answer:

x +
(1)/(x) = 15

Explanation:

Given

3x +
(2)/(x) - 4 = 2(x + 9) - (7 -
(1)/(x) ) ← distribute and simplify right side

3x +
(2)/(x) - 4 = 2x + 18 - 7 +
(1)/(x)

3x +
(2)/(x) - 4 = 2x + 11 +
(1)/(x) ( subtract 2x from both sides )

x +
(2)/(x) - 4 = 11 +
(1)/(x) ( subtract
(1)/(x) from both sides )

x +
(1)/(x) - 4 = 11 ( add 4 to both sides )

x +
(1)/(x) = 15

User Dax Fohl
by
7.2k points
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