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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 (14)(x+800)+(14)(x+500)+7x/12+18x/12+108x = 407880-24100 .
    Question type: Equation
    Solution:Original question:
     (14)( x + 800) + (14)( x + 500) + 7 x ÷ 12 + 18 x ÷ 12 + 108 x = 40788024100
     Left side of the equation = (14)( x + 800) + (14)( x + 500) +
7
12
x +
3
2
x + 108 x
                                             = (14)( x + 800) + (14)( x + 500) +
1321
12
x
    The equation is transformed into :
     (14)( x + 800) + (14)( x + 500) +
1321
12
x = 40788024100
    Remove the bracket on the left of the equation:
     Left side of the equation = 14( x + 800) + (14)( x + 500) +
1321
12
x
                                             = 14 x + 14 × 800 + (14)( x + 500) +
1321
12
x
                                             = 14 x + 11200 + (14)( x + 500) +
1321
12
x
                                             =
1489
12
x + 11200 + (14)( x + 500)
                                             =
1489
12
x + 11200 + 14( x + 500)
                                             =
1489
12
x + 11200 + 14 x + 14 × 500
                                             =
1489
12
x + 11200 + 14 x + 7000
                                             =
1657
12
x + 18200
    The equation is transformed into :
     
1657
12
x + 18200 = 40788024100
     Right side of the equation = 383780
    The equation is transformed into :
     
1657
12
x + 18200 = 383780

    Transposition :
     
1657
12
x = 38378018200

    Combine the items on the right of the equation:
     
1657
12
x = 365580

    The coefficient of the unknown number is reduced to 1 :
      x = 365580 ÷
1657
12
        = 365580 ×
12
1657

    We obtained :
      x =
4386960
1657
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2647.531684



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