Evaluate the following arithmetic expression:
`45+13-76-:4xx2`

Answer

To evaluate the arithmetic expression `45 + 13 - 76 ÷ 4 × 2`, 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. **Identify the expression**:
\[ 45 + 13 - 76 ÷ 4 × 2 \]

2. **Perform Division and Multiplication first**:
- Start with the division \(76 ÷ 4\):
\[ 76 ÷ 4 = 19 \]
- Now replace \(76 ÷ 4\) in the expression:
\[ 45 + 13 - 19 × 2 \]

3. **Now perform the multiplication**:
- Calculate \(19 × 2\):
\[ 19 × 2 = 38 \]
- Replace \(19 × 2\) in the expression:
\[ 45 + 13 - 38 \]

4. **Perform Addition**:
- Calculate \(45 + 13\):
\[ 45 + 13 = 58 \]
- Replace \(45 + 13\) in the expression:
\[ 58 - 38 \]

5. **Perform Subtraction**:
- Calculate \(58 - 38\):
\[ 58 - 38 = 20 \]

6. **Final Answer**:
\[ \text{The final result is } 20. \]