Algebra

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.

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