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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 117*（x-500）+7*（x-1000）+218*x+33*（x+250）+500/6*x+500/2*x+(x-500)+x/2+(x-500)*8/12+(x-750)*6/12+(x-500)/6 = 5790724.49 .
    Question type: Equation
    Solution:Original question:
     117( x − 500) + 7( x − 1000) + 218 x + 33( x + 250) + 500 ÷ 6 × x + 500 =
579072449
100
     Left side of the equation = 117( x − 500) + 7( x − 1000) + 218 x + 33( x + 250) +
250
3
 x + 250 x
                                             = 117( x − 500) + 7( x − 1000) +
3311
6
 x + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750)
    The equation is transformed into :
     117( x − 500) + 7( x − 1000) +
3311
6
 x + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) =
579072449
100
    Remove the bracket on the left of the equation:
     Left side of the equation = 117 x − 117 × 500 + 7( x − 1000) +
3311
6
 x + 33( x + 250) + ( x − 500) + ( x − 500)
                                             = 117 x − 58500 + 7( x − 1000) +
3311
6
 x + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
                                             =
4013
6
 x − 58500 + 7( x − 1000) + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
                                             =
4013
6
 x − 58500 + 7 x − 7 × 1000 + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
                                             =
4013
6
 x − 58500 + 7 x − 7000 + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750)
                                             =
4055
6
 x − 65500 + 33( x + 250) + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
4055
6
 x − 65500 + 33 x + 33 × 250 + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
                                             =
4055
6
 x − 65500 + 33 x + 8250 + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500)
                                             =
4253
6
 x − 57250 + ( x − 500) + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
4253
6
 x − 57250 + x − 500 + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
4259
6
 x − 57750 + ( x − 500) ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
4259
6
 x − 57750 + x ×
2
3
 − 500 ×
2
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
4259
6
 x − 57750 + x ×
2
3
 −
1000
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
1421
2
 x −
174250
3
 + ( x − 750) ×
1
2
 + ( x − 500) ×
1
6
                                             =
1421
2
 x −
174250
3
 + x ×
1
2
 − 750 ×
1
2
 + ( x − 500) ×
1
6
                                             =
1421
2
 x −
174250
3
 + x ×
1
2
 − 375 + ( x − 500) ×
1
6
                                             = 711 x −
175375
3
 + ( x − 500) ×
1
6
                                             = 711 x −
175375
3
 + x ×
1
6
 − 500 ×
1
6
                                             = 711 x −
175375
3
 + x ×
1
6
 −
250
3
                                             =
4267
6
 x −
175625
3
    The equation is transformed into :
     
4267
6
 x −
175625
3
 =
579072449
100

    Transposition :
     
4267
6
 x =
579072449
100
 +
175625
3

    Combine the items on the right of the equation:
     
4267
6
 x =
1754779847
300

    The coefficient of the unknown number is reduced to 1 :
      x =
1754779847
300
 ÷
4267
6
        =
1754779847
300
 ×
6
4267
        =
1754779847
50
 ×
1
4267

    We obtained :
      x =
1754779847
213350
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 8224.887963



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