Given 3x + 2/x - 4 = 2(x + 9) + 2x - (7 - 1/x) + 2/x, what is (x^2 + 1)/x?
Notice that $\frac{x^2 + 1}{x} = x+\frac{1}{x}$ so if you can simplify the given equation to see if it contains $x+\frac{1}{x}$ as a "variable" that should solve it.