Mathematics
         
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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation -8[48÷(2x+2)+7]+4 = 12 .
    Question type: Equation
    Solution:Original question:
      - 8(48 ÷ (2 x + 2) + 7) + 4 = 12
    Remove a bracket on the left of the equation::
      - 8 × 48 ÷ (2 x + 2)8 × 7 + 4 = 12
    The equation is reduced to :
      - 384 ÷ (2 x + 2)56 + 4 = 12
    The equation is reduced to :
      - 384 ÷ (2 x + 2)52 = 12
     Multiply both sides of the equation by:(2 x + 2)
      - 38452(2 x + 2) = 12(2 x + 2)
    Remove a bracket on the left of the equation:
      - 38452 × 2 x 52 × 2 = 12(2 x + 2)
    Remove a bracket on the right of the equation::
      - 38452 × 2 x 52 × 2 = 12 × 2 x + 12 × 2
    The equation is reduced to :
      - 384104 x 104 = 24 x + 24
    The equation is reduced to :
      - 488104 x = 24 x + 24

    Transposition :
      - 104 x 24 x = 24 + 488

    Combine the items on the left of the equation:
      - 128 x = 24 + 488

    Combine the items on the right of the equation:
      - 128 x = 512

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 512 = 128 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     128 x = - 512

    The coefficient of the unknown number is reduced to 1 :
      x = - 512 ÷ 128
        = - 512 ×
1
128
        = - 4 × 1

    We obtained :
      x = - 4
    This is the solution of the equation.



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