Let's solve the expression step by step.

The expression is:

\[
5(6 + 3 \times 2 - 4) - (3 \times 1 + 2 \times 5 - 3)
\]

### Step 1: Simplify the expressions inside the parentheses.

- For the first set of parentheses:  
  \[
  6 + 3 \times 2 - 4
  \]
  Apply the multiplication first:  
  \[
  6 + 6 - 4 = 8
  \]

- For the second set of parentheses:  
  \[
  3 \times 1 + 2 \times 5 - 3
  \]
  Apply the multiplication first:  
  \[
  3 + 10 - 3 = 10
  \]

### Step 2: Substitute the simplified values back into the expression.

\[
5 \times 8 - 10
\]

### Step 3: Simplify further.

- Multiply:  
  \[
  5 \times 8 = 40
  \]

- Finally, subtract:  
  \[
  40 - 10 = 30
  \]

So, the value of the expression is **30**.

Would you like more details or have any questions about this? Here are five related questions to consider:

1. What would the result be if you changed one of the multiplication signs to division?
2. How does the order of operations affect the outcome of expressions like this?
3. What happens if you add more parentheses to the original expression?
4. Can you think of a real-life scenario where you might need to solve an expression like this?
5. How would this expression change if one of the constants (e.g., 6 or 3) was a variable?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) to avoid mistakes in simplifying expressions.

Learn how to simplify and solve the arithmetic expression 5(6+3*2-4)-(3*1+2*5-3) step-by-step. This problem involves basic arithmetic operations and the application of parentheses and order of operations (PEMDAS/BODMAS). Suitable for students in Grades 6-8.

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