(3x − 2)/6 − (4x + 1)/4 = −2?

what is x? I got 3.83 and it was marked wrong

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  • Jim
    Lv 7
    1 month ago

    Multiply everything by 12 to get rid of fractions:

    2(3x-2) - 3(4x+1) = -24   so now distribute:

    6x -4 -12x -3 = -24   now combine:

    -6x -7 = -24   now add 7

    -6x = -17,   now divide by -6

    x = 17/6 or around 2.8333

  • 1 month ago

    (3x − 2)/6 − (4x + 1)/4 = −2

    4(3x - 2) - 6(4x + 1) = -2(4)(6)

    12x - 8 - 24x - 6 = - 48 

    -12x - 14 = -48 

    12x + 14 = 48 

    12x = 34 

    x = 34/12 

    x = 2 10/12 = 2 5/6 = (2.83333.....)

  • 1 month ago

    Let solve it

    (3x − 2)/6 − (4x + 1)/4 = −22(3x − 2) − 3(4x + 1) = −24− 6x = −17x ≈ 2.8333Thus x is 2.8333

  • 1 month ago

     3x - 2...........4x + 1

    [----------- -  --------------= - 2]24

    ....6.................... 4

    4(3x - 2) - 6(4x + 1) = - 48

     12x - 8 - 24x - 6 = - 48

     - 12x - 14 = - 48

     - 12x = - 48 + 14

     - 12x = - 34

      x = 17/6 Answer//

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  • sepia
    Lv 7
    1 month ago

    (3x − 2)/6 − (4x + 1)/4 = −2

    2(3x − 2) − 3(4x + 1) = −24

    6x = 17

    x = 2.833..

  • 1 month ago

    Lets try a graphic image solution

    Attachment image
  • 1 month ago

    (3x − 2)/6 − (4x + 1)/4 = −2

    2(3x − 2) − 3(4x + 1) = −24

    − 6x = −17

    x ≈ 2.8333

  • 1 month ago

    My first thought is you had the right answer, but you rounded to 2DP.  Unless told to do so you should keep the result as a fraction.

    (3x - 2) / 6 - (4x + 1) / 4 = -2

    Multiply both sides by 12 (the LCD) to remove the fractions:

    2(3x - 2) - 3(4x + 1) = -24

    Expand the left side and combine like terms:

    6x - 4 - 12x - 3 = -24

    -6x - 7 = -24

    Add 7 to both sides:

    -6x = -17

    Divide both sides by -6:

    x = 17/6

    So you did something to be off by 1.  (17/6 = 2.83 rounded to 2DP), but either way the answer should be left as a simplified fraction.

  • 1 month ago

    Multiply both sides by the lowest common denominator of 12 to get rid of fractions:

    2(3x - 2) - 3(4x + 1) = -24

    6x - 4 - 12x - 3 = -24

    Group like terms:

    6x - 12x = -24 + 4 + 3

    -6x = -17

    Divide both sides by -6:

    x = -17/-6

    x = 17/6 or 2⅚

    That's the exact answer as a fraction. Even if you allow for a decimal equivalent, the answer would be 2.83333... which is still not what you wrote. 

    I think you must have switched a sign somewhere in your calculation. Double-check your work.

    You should always test that your answer gives the correct result:

    (3x - 2)/6 - (4x + 1)/4 = -2

    (3(17/6) - 2)/6 - (4(17/6) + 1)/4 =? -2

    (17/2 - 2)/6 - (34/3 + 1)/4 =? -2

    (17/2 - 4/2)/6 - (34/3 + 3/3)/4 =? -2

    (13/2)/6 - (37/3)/4 =? -2

    13/12 - 37/12 =? -2

    -24/12 =? -2

    -2 = -2 ✓

    Answer:

    x = 17/6 or 2⅚ or 2.83333...

  • 1 month ago

    (3x − 2)/6 − (4x + 1)/4 = -2

    2/2 * (3x - 2)/6 - 3/3 * (4x + 1)/4 = -2

    (6x - 4)/12 - (12x - 3)/12 = -2

    (6x - 4 - 12x + 3)/12 = -2

    (-6x - 1)/12 = -2

    -6x - 1 = -24

    -6x = -23

    x = -23/-6 = 3.83

    I agree with your answer.

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