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Which of the following expressions is equivalent to 3(x + 4) - 2(x - 1)?

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Question: Which of the following expressions is equivalent to 3(x + 4) - 2(x - 1)?

Options:

  1. x + 14
  2. x + 10
  3. x + 12
  4. x + 16

Correct Answer: x + 14

Solution: 

Distributing gives 3x + 12 - 2x + 2 = x + 14.

Which of the following expressions is equivalent to 3(x + 4) - 2(x - 1)?

Practice Questions

Q1
Which of the following expressions is equivalent to 3(x + 4) - 2(x - 1)?
  1. x + 14
  2. x + 10
  3. x + 12
  4. x + 16

Questions & Step-by-Step Solutions

Which of the following expressions is equivalent to 3(x + 4) - 2(x - 1)?
  • Step 1: Start with the expression 3(x + 4) - 2(x - 1).
  • Step 2: Distribute 3 to both x and 4 in the first part: 3 * x + 3 * 4 = 3x + 12.
  • Step 3: Distribute -2 to both x and -1 in the second part: -2 * x + -2 * -1 = -2x + 2.
  • Step 4: Now combine the results from Step 2 and Step 3: 3x + 12 - 2x + 2.
  • Step 5: Combine like terms: (3x - 2x) + (12 + 2) = 1x + 14.
  • Step 6: Simplify 1x to just x, so the final expression is x + 14.
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