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ASVAB · Algebra Basics and Equations

Solve for x: 3x − 7 = 14.

Correct answer

x = 7

  1. A x = 7
  2. B x = 21
  3. C x = 3
  4. D x = 2.3

Why this is the answer

To solve a linear equation, isolate x. Start with 3x − 7 = 14. Add 7 to both sides: 3x = 21. Then divide both sides by 3: x = 7. The strategy is to undo operations in reverse order — first undo the subtraction (add 7), then undo the multiplication (divide by 3). You can check by substituting back: 3(7) − 7 = 21 − 7 = 14. ✓ Linear equations are a staple of Mathematics Knowledge, and the reliable method is to perform the same operation on both sides until x stands alone.
Source: ASVAB MK, Solving Linear Equations

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