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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 (196.5+376)/31*x+124/31*(x+15)+124/31*(x+30) = 1223 .
    Question type: Equation
    Solution:Original question:
     (
393
2
 + 376) ÷ 31 × x + 124 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1223
     Left side of the equation = (
393
2
 + 376) ×
1
31
 x + 4( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
393
2
 + 376) ×
1
31
 x + 4( x + 15) + 4( x + 30) = 1223
    Remove the bracket on the left of the equation:
     Left side of the equation =
393
2
 ×
1
31
 x + 376 ×
1
31
 x + 4( x + 15) + 4( x + 30)
                                             =
393
62
 x +
376
31
 x + 4( x + 15) + 4( x + 30)
                                             =
1145
62
 x + 4( x + 15) + 4( x + 30)
                                             =
1145
62
 x + 4 x + 4 × 15 + 4( x + 30)
                                             =
1145
62
 x + 4 x + 60 + 4( x + 30)
                                             =
1393
62
 x + 60 + 4( x + 30)
                                             =
1393
62
 x + 60 + 4 x + 4 × 30
                                             =
1393
62
 x + 60 + 4 x + 120
                                             =
1641
62
 x + 180
    The equation is transformed into :
     
1641
62
 x + 180 = 1223

    Transposition :
     
1641
62
 x = 1223 − 180

    Combine the items on the right of the equation:
     
1641
62
 x = 1043

    The coefficient of the unknown number is reduced to 1 :
      x = 1043 ÷
1641
62
        = 1043 ×
62
1641

    We obtained :
      x =
64666
1641
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 39.406459



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