how do you solve 1/2 (1/2x – 2) = 4x + 4?

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  • 123
    Lv 6
    8 years ago
    Favorite Answer

    4x+4=x/4 -1

    15x/4=-1-4

    x=-5(4/15)

    =-4/3

    Source(s): #1 math tutor
  • 8 years ago

    1/2 (1/2x – 2) = 4x + 4

    Distribute.

    1/4x - 1 = 4x + 4

    Like terms should be on the same side.

    1/4x - 4x = 1 + 4

    Simplify.

    - 3 3/4x = 5

    Solve.

    x = -1 1/3 or -4/3

    Check answer.

    1/2[1/2(-4/3) - 2] = 4(-4/3) + 4

    1/2[-2 2/3] = -16/3 + 4

    - 1 1/3 = - 1 1/3

  • 8 years ago

    First you multiply by 2 to get rid of the 1/2, so you have (1/2)x-2=8x+8. Then you can subtract the (1/2)x from both sides and get 7(1/2)x+8=-2. If you don't like working with halves you can cancel it by multiplying by 2, which leaves 15x+16=-4. Then you subtract 16 from -4 making it -20. So 15x=-20, then divide by 15 or leave it as the fraction (-3/4)

  • 8 years ago

    1/4x -1 = 4x +4

    MULTIPLY BY 4

    x -4 = 16x +16

    15x = -20

    x = -20/15 = -4/3 ANSWER

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  • 8 years ago

    1/4x-1=4x+4

    -5=4x-1/4x

    -5=16x/4-1/4x

    -5=15x/4

    -20=15x

    -20/15=x

    -4/3=x

    Source(s): my brain!
  • ?
    Lv 4
    4 years ago

    that is in easy terms a rely of simplifying and gathering like words. we are going to initiate by utilising removing the pesky fractions -- first multiply the two sides by utilising "-5", and then the two sides by utilising "6", simplifying as we flow... -(4x+4)/(5) = (5x-a million)/(2) - (x)/(3) (-5)[-(4x + 4)/(5)] = (-5)[(5x - a million)/2 - (x)/(3)] (4x + 4) = (-5)(5x - a million)/2 - (-5)(x)/(3) = (-25x + 5)/(2) + (5x)/(3) (6)(4x + 4) = (6)[(-25x)/(2) + (5)/(2) + (5x)/(3)] 24x + 24 = (3)(-25x) + (3)(5) + (2)(5x) = -75x + 15 + 10x = -65x + 15 Now all to procure to do is collect like words on the two area of the "=" 24x + 65x = 15 - 24 89x = -9 x = -9/89

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