1. **State the problem:** Simplify the expression $$(3+2i)-(8-5i)$$. 2. **Recall the rule for subtraction of complex numbers:** Subtract the real parts and the imaginary parts separately. 3. **Apply the subtraction:** $$ (3+2i)-(8-5i) = (3-8) + (2i - (-5i)) $$ 4. **Simplify the real and imaginary parts:** $$ 3-8 = -5 $$ $$ 2i - (-5i) = 2i + 5i = 7i $$ 5. **Write the final simplified form:** $$ -5 + 7i $$ This is the simplified result of the given expression.