I can see this is an example showing how to simplify the algebraic expression 8x + 4 + 3(2x - 3).
Let me work through this step by step to verify the solution:
Step 1: Expand the brackets
- We have 3(2x - 3)
- Multiply 3 by each term inside the brackets:
- 3 × 2x = 6x
- 3 × (-3) = -9
- So 3(2x - 3) = 6x - 9
Now the expression becomes:
8x + 4 + 6x - 9
Step 2: Collect like terms
- Group the x terms together: 8x + 6x = 14x
- Group the constant numbers together: 4 - 9 = -5
So we get: 14x - 5
Let me double-check my calculations:
- 8x + 6x = 14x ✓
- 4 - 9 = -5 ✓
The answer matches what's shown in the image.
Final Answer: 14x - 5
Parent Tip: Review the logic above to help your child master the concept of simplify the expression worksheet.