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3.4 8 = (4)/(x) 3.5 5(x−1)−(1−2x)=8

Mathematics

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QUESTION 3

3.3.4

  1. Multiply both sides by xx to remove the denominator.

    8x=48x = 4
  2. Divide both sides by 8 to solve for xx.

    x=48x = \frac{4}{8} x=12x = \frac{1}{2} x=0.5x = 0.5

    The solution is x=0.5\boxed{\text{}x = 0.5\text{}}

    3.3.5

  3. Distribute the 5 into the first parenthesis and the negative sign into the second parenthesis.

    5x−5−1+2x=85x - 5 - 1 + 2x = 8
  4. Combine like terms.

    (5x+2x)+(−5−1)=8(5x + 2x) + (-5 - 1) = 8 7x−6=87x - 6 = 8
  5. Add 6 to both sides of the equation.

    7x=8+67x = 8 + 6 7x=147x = 14
  6. Divide both sides by 7 to solve for xx.

    x=147x = \frac{14}{7} x=2x = 2

    The solution is x=2\boxed{\text{}x = 2\text{}}

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