CA Foundation · Quantitative Aptitude · Equations
Solve for x: 3(x − 4) + 2 = 2x + 7
The solution is x = 17. Expanding 3(x − 4) + 2 gives 3x − 10, and setting this equal to 2x + 7 gives x = 17. Substituting back, both sides equal 41, which confirms the answer.
- Ax = 17Correct
- Bx = 5
- Cx = 9
- Dx = 13
Explanation
Expand: 3x − 12 + 2 = 2x + 7, so 3x − 10 = 2x + 7. Then x = 17. Check: LHS = 3(13) + 2 = 41; RHS = 34 + 7 = 41. The value 5 comes from forgetting to multiply −4 by 3 wrongly (3x − 4 + 2).
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