AlgebraEasy–MediumEquation with a subtracted variable term
Algebra practice question
If 7 − 2x = 15, what is the value of x?
- A. −4Correct
- B. 4
- C. 11
- D. −11
Answer: A. −4
Subtract 7 from both sides: −2x = 8. Divide by −2: x = −4. Check: 7 − 2(−4) = 7 + 8 = 15.
Why the other answers are wrong
- B. 4
- 4 drops the sign. Dividing 8 by −2 gives −4, not 4. Check: 7 − 2(4) = −1, not 15.
- C. 11
- 11 comes from adding 7 to 15 instead of subtracting it: (15 + 7)/2. The 7 is on the same side as −2x, so it comes off: 15 − 7 = 8.
- D. −11
- −11 adds the 7 AND keeps a sign error. Start with 7 − 2x = 15, subtract 7, then divide by −2.
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