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Solve x/5 - (2x+4)/3 = 1?

  1. Aug 18, 2013 #1
    I have been struggling with this question can anyone explain how you would solve this, i have been told the answer is -5 but i want to know how to solve it.

    Solve the following equation with algebraic fractions

    x/5 - (2x+4)/3 = 1
     
  2. jcsd
  3. Aug 18, 2013 #2

    rock.freak667

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    Expand out -(2x+4)/3 and then use your normal rules of algebra. Are you able to expand -(2x+4)/3 ?
     
  4. Aug 18, 2013 #3
    is it 2x/3 + 4/3
     
  5. Aug 18, 2013 #4

    rock.freak667

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    Right so (2x+5)/3 = 2x/3 + 4/3. If you put this into your equation you will have:

    x/5 - (2x/3 +4/3) = 1


    Can you simplify the left side of this equation using your standard algebra rules?
     
  6. Aug 18, 2013 #5
    3x/15 - 10x/15 + 4/3

    -7x/15 + 4/3 = 1
     
  7. Aug 18, 2013 #6

    rock.freak667

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    For -(2x/3 + 4/3) you are essentially multiplying each term in the bracket by -1. So you should not have +4/3. What should you have instead? After you do that, make -7x/15 the subject of the formula.
     
  8. Aug 18, 2013 #7
    got it

    3x/15 - 10x/15 - 4/3 = 1
    -7x/15 - 4/3 = 1
    -7x/15 = 1 + 4/3
    -7x = (1+4/3)*15
    -7x = 15+(60/3)
    -7x = 35
    x = 35/-7
    x = -5

    Thanks
     
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