`75 - (96-18 div 6 - 58) div 5 + 4 xx 17 = ?`

Options

A. 70
B. 136
C. 76
D. 7

Answer

To solve the expression \( 75 - (96 - \frac{18}{6} - 58) \div 5 + 4 \times 17 \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Evaluate the Division Inside the Parentheses:**
\[ \frac{18}{6} = 3 \]
Now the expression becomes:
\[ 75 - (96 - 3 - 58) \div 5 + 4 \times 17 \]

**Hint:** Always resolve division and multiplication before addition and subtraction.

2. **Simplify Inside the Parentheses:**
\[ 96 - 3 = 93 \]
\[ 93 - 58 = 35 \]
Now the expression becomes:
\[ 75 - 35 \div 5 + 4 \times 17 \]

**Hint:** After resolving the division, simplify the expression inside the parentheses step by step.

3. **Evaluate the Division Outside the Parentheses:**
\[ 35 \div 5 = 7 \]
Now the expression becomes:
\[ 75 - 7 + 4 \times 17 \]

**Hint:** Remember to handle the division before moving on to addition or subtraction.

4. **Evaluate the Multiplication:**
\[ 4 \times 17 = 68 \]
Now the expression becomes:
\[ 75 - 7 + 68 \]

**Hint:** Multiplication should be resolved before addition and subtraction.

5. **Perform the Subtraction:**
\[ 75 - 7 = 68 \]
Now the expression becomes:
\[ 68 + 68 \]

**Hint:** Always perform operations from left to right.

6. **Perform the Addition:**
\[ 68 + 68 = 136 \]

**Hint:** Finally, add the results to get the final answer.

### Final Answer:
The final answer is \( 136 \).