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CA Foundation · Quantitative Aptitude · Equations

Solve for x: 3(x − 4) + 2 = 5x − 18.

The solution is x = 4. Expanding gives 3x − 10 = 5x − 18, which simplifies to 2x = 8. Substituting x = 4 gives 2 on both sides, confirming the answer.

  1. Ax = 4Correct
  2. Bx = 3
  3. Cx = 8
  4. Dx = −4

Explanation

Expand: 3x − 12 + 2 = 5x − 18, so 3x − 10 = 5x − 18. Rearranging gives 8 = 2x, so x = 4. Check: LHS = 3(0)+2 = 2; RHS = 20 − 18 = 2. Choosing x = 8 comes from forgetting to divide properly, and x = −4 from a sign error.

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