1. **State the problem:** Add the two complex numbers $(12+3i)$ and $(14+8i)$. 2. **Formula used:** To add complex numbers, add their real parts and their imaginary parts separately. 3. **Apply the formula:** $$ (12+3i) + (14+8i) = (12+14) + (3i+8i) $$ 4. **Simplify:** $$ = 26 + 11i $$ 5. **Final answer:** The sum of the complex numbers is $26 + 11i$.