Find x + 1/x if 3x + 2x = 2(x + 9) - 7 + x
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.
\({11\over2} + {2\over11} = {121\over22} + {4\over22} = {125\over22}\)