1. Problem: Solve the equation $1/x = 2$ for $x$. 2. Domain: We require $x\neq 0$ because division by zero is undefined. 3. Multiply both sides by $x$ (valid because $x\neq 0$) to eliminate the denominator. 4. This gives $1 = 2x$. 5. Solve for $x$ by dividing both sides by 2. 6. Thus $x = \frac{1}{2}$. 7. Check: substituting $x = \frac{1}{2}$ into the original equation gives $1/(\frac{1}{2}) = 2$, so the solution is verified. 8. Final answer: $x = \frac{1}{2}$.