1. **State the problem:** Solve the literal equation $$5kx + 6 = 7kx$$ for $$x$$. 2. **Write down the equation:** $$5kx + 6 = 7kx$$. 3. **Isolate terms with $$x$$ on one side:** Subtract $$5kx$$ from both sides: $$5kx + 6 - 5kx = 7kx - 5kx$$ which simplifies to $$6 = 2kx$$. 4. **Solve for $$x$$:** Divide both sides by $$2k$$ (assuming $$k \neq 0$$): $$x = \frac{6}{2k} = \frac{3}{k}$$. 5. **Interpret the solution:** The value of $$x$$ in terms of $$k$$ is $$\frac{3}{k}$$. 6. **Check the options:** The correct answer is C. $$x = \frac{3}{k}$$. **Final answer:** $$x = \frac{3}{k}$$.