Solve the linear equation 3x - 7 = 2x + 5.

Correct answer: C. 12

  • A. 10
  • B. 11
  • C. 12
  • D. 13

Explanation

Subtracting 2x from both sides gives x - 7 = 5. Adding 7 gives x = 12, so the correct option is 12.

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About Linear and Quadratic Equations and Inequalities

Linear equations are solved using algebraic manipulation, while quadratic equations involve factorisation, the quadratic formula, completing the square and the discriminant. Inequalities require careful treatment of solution intervals and reversal of the sign when multiplying or dividing by a negative number, unlike ordinary equation solving.

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