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Advanced MathEasyDistributing a negative and combining

Advanced Math practice question

Which expression is equivalent to −2(3x − 4) + 5x?

  1. A. −x + 8Correct
  2. B. −x − 8
  3. C. 11x − 8
  4. D. −11x + 8

Answer: A. −x + 8

Distribute −2 over both terms: −6x + 8. Then add 5x: −6x + 5x + 8 = −x + 8.

Why the other answers are wrong

B. −x − 8
−2 times −4 is +8, not −8. A negative times a negative is positive.
C. 11x − 8
11x − 8 comes from +6x + 5x − 8 — the −2 was distributed as +2.
D. −11x + 8
−11x subtracts 5x instead of adding it, and −6x − 5x is not what the expression says.

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