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what is the value of (x) in the equation (1.5(x + 4) - 3 = 4.5(x - 2))?…

Question

what is the value of (x) in the equation (1.5(x + 4) - 3 = 4.5(x - 2))?

3
4
5
9

Explanation:

Write down the given equation

$$1.5(x + 4) - 3 = 4.5(x - 2)$$

Expand both sides of the equation

$$1.5x + 6 - 3 = 4.5x - 9$$
$$1.5x + 3 = 4.5x - 9$$

Solve for x

$$3 + 9 = 4.5x - 1.5x$$
$$12 = 3x$$
$$x = 4$$

Answer:

  • (A) 3
  • (B) 4 (Correct answer)
  • (C) 5
  • (D) 9