Which of the following is the result of combining 5(x + 2) + 3x?

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Multiple Choice

Which of the following is the result of combining 5(x + 2) + 3x?

Explanation:
To combine the expression 5(x + 2) + 3x, we start by distributing the 5 through the parentheses: 1. Distribute: 5(x + 2) becomes 5*x + 5*2, which simplifies to 5x + 10. 2. Now, we rewrite the entire expression: 5x + 10 + 3x. 3. Next, we combine the like terms. The terms 5x and 3x are both 'x' terms and can be added together: 5x + 3x equals 8x. 4. Finally, we add the constant term, which is 10: Thus, we get 8x + 10. So the correct result of the entire operation is 8x + 10. This shows how the process of distributing and combining like terms leads to the correct answer, making it clear why this result is valid.

To combine the expression 5(x + 2) + 3x, we start by distributing the 5 through the parentheses:

  1. Distribute:

5(x + 2) becomes 5x + 52, which simplifies to 5x + 10.

  1. Now, we rewrite the entire expression:

5x + 10 + 3x.

  1. Next, we combine the like terms. The terms 5x and 3x are both 'x' terms and can be added together:

5x + 3x equals 8x.

  1. Finally, we add the constant term, which is 10:

Thus, we get 8x + 10.

So the correct result of the entire operation is 8x + 10. This shows how the process of distributing and combining like terms leads to the correct answer, making it clear why this result is valid.

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