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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)+2*9x/12+7x/12+9x/12+11x*26/12+81x = 743162.33-24100 .
    Question type: Equation
    Solution:Original question:
     (14)( x + 800) + (14)( x + 500) + 2 × 9 x ÷ 12 + 7 x ÷ 12 + 9 =
74316233
100
24100
     Left side of the equation = (14)( x + 800) + (14)( x + 500) +
3
2
x +
7
12
x +
3
4
x +
143
6
x
                                             = (14)( x + 800) + (14)( x + 500) +
323
3
x
    The equation is transformed into :
     (14)( x + 800) + (14)( x + 500) +
323
3
x =
74316233
100
24100
    Remove the bracket on the left of the equation:
     Left side of the equation = 14( x + 800) + (14)( x + 500) +
323
3
x
                                             = 14 x + 14 × 800 + (14)( x + 500) +
323
3
x
                                             = 14 x + 11200 + (14)( x + 500) +
323
3
x
                                             =
365
3
x + 11200 + (14)( x + 500)
                                             =
365
3
x + 11200 + 14( x + 500)
                                             =
365
3
x + 11200 + 14 x + 14 × 500
                                             =
365
3
x + 11200 + 14 x + 7000
                                             =
407
3
x + 18200
    The equation is transformed into :
     
407
3
x + 18200 =
74316233
100
24100
     Right side of the equation =
71906233
100
    The equation is transformed into :
     
407
3
x + 18200 =
71906233
100

    Transposition :
     
407
3
x =
71906233
100
18200

    Combine the items on the right of the equation:
     
407
3
x =
70086233
100

    The coefficient of the unknown number is reduced to 1 :
      x =
70086233
100
÷
407
3
        =
70086233
100
×
3
407

    We obtained :
      x =
210258699
40700
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5166.0614



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