Let's break down and solve the equation step by step:

Given equation:
\[ 2(4) + 5(2) = 2(20) \]

### Step 1: Simplify each term on both sides of the equation.
- \( 2(4) \) means \( 2 \times 4 = 8 \)
- \( 5(2) \) means \( 5 \times 2 = 10 \)
- \( 2(20) \) means \( 2 \times 20 = 40 \)

### Step 2: Substitute the simplified values back into the equation.
\[ 8 + 10 = 40 \]

### Step 3: Add the terms on the left side.
\[ 18 = 40 \]

### Conclusion:
The equation \( 18 = 40 \) is not true, which means the original equation \( 2(4) + 5(2) = 2(20) \) is incorrect.

If you have any questions or would like more details, let me know!

Here are some related questions for further practice:

1. Solve the equation \( 3(x + 2) = 12 \).
2. Expand and simplify \( 2(a + b) + 3(a - b) \).
3. What is the value of \( 7x - 4 = 3x + 12 \)?
4. Solve the equation \( 4(3x - 2) = 24 \).
5. What is the simplified form of \( 5(x + 4) - 2(x - 3) \)?
6. Solve the inequality \( 2(2x + 5) > 3(3x - 1) \).
7. What is the value of \( 3y + 2 = 4(y - 1) \)?
8. Simplify the expression \( 2(3 + x) + 4(2 - x) \).

**Tip:** Always simplify each term before solving the equation to avoid errors in your calculations.

Learn how to solve the equation 2(4) + 5(2) = 2(20) with a detailed step-by-step solution. This problem involves multiplication and basic equation solving. Suitable for students in Grades 3-5.

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