1. **State the problem:** We need to find the value of $x$ in the equation $103x = 67$. 2. **Formula and rules:** To solve for $x$, we use the rule of division to isolate $x$ by dividing both sides of the equation by 103. 3. **Isolate $x$:** $$x = \frac{67}{103}$$ 4. **Simplify if possible:** Since 67 and 103 have no common factors other than 1, the fraction is already in simplest form. 5. **Final answer:** $$x = \frac{67}{103}$$