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Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x

Correct answer: A. 4

  • A. 4
  • B. 5
  • C. 6
  • D. -4
  • E. None of these

Explanation

Combine like terms: 6x + 3x - 27 = 4 + 9 - x gives 9x - 27 = 13 - x, so 10x = 40 and x = 4. The likely trap is option b, 5, caused by adding the constants incorrectly or forgetting to move -x to the left.

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About Linear Equations

Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.

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