Let's solve the equation step by step:

Given:

\[
8 - 4 \times (9 + 1 \times 3) + 5 \times 7
\]

### Step 1: Solve inside the parentheses
\[
9 + 1 \times 3 = 9 + 3 = 12
\]

Now the equation is:

\[
8 - 4 \times 12 + 5 \times 7
\]

### Step 2: Perform multiplication
\[
4 \times 12 = 48
\]
\[
5 \times 7 = 35
\]

Now the equation is:

\[
8 - 48 + 35
\]

### Step 3: Perform the addition and subtraction from left to right
\[
8 - 48 = -40
\]
\[
-40 + 35 = -5
\]

### Final answer:
\[
8 - 4 \times (9 + 1 \times 3) + 5 \times 7 = -5
\]

Let me know if you'd like more details or if you have any questions!

Here are 5 related questions:
1. What is the order of operations in mathematics?
2. How do parentheses affect the order of operations?
3. What happens when there are multiple multiplications and additions in an equation?
4. Can you provide an example with nested parentheses?
5. How do you handle equations with exponents and parentheses?

**Tip:** Always solve operations inside parentheses first before moving on to multiplication, division, addition, and subtraction!

Learn how to solve the expression 8 - 4x(9 + 1x3) + 5x7 step-by-step by applying the order of operations (PEMDAS). Understand the impact of parentheses and multiplication on the equation. Suitable for students in Grades 5-7.

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