1. **State the problem:** Simplify the expression $72-(8\times7+3)-5$. 2. **Recall order of operations:** We first do multiplication, then addition/subtraction from left to right. 3. **Calculate inside the parentheses:** $$8\times7=56$$ 4. **Add inside the parentheses:** $$56+3=59$$ 5. **Rewrite the expression:** $$72-59-5$$ 6. **Perform the subtraction from left to right:** $$72-59=13$$ 7. **Subtract the last term:** $$13-5=8$$ **Final answer:** $8$