Question

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

Answer 1

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