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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 (192.5+309)/31*x+186/31*(x+15)+124/31(x+30) = 1122 .
    Question type: Equation
    Solution:Original question:
     (
385
2
 + 309) ÷ 31 × x + 186 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1122
     Left side of the equation = (
385
2
 + 309) ×
1
31
 x + 6( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
385
2
 + 309) ×
1
31
 x + 6( x + 15) + 4( x + 30) = 1122
    Remove the bracket on the left of the equation:
     Left side of the equation =
385
2
 ×
1
31
 x + 309 ×
1
31
 x + 6( x + 15) + 4( x + 30)
                                             =
385
62
 x +
309
31
 x + 6( x + 15) + 4( x + 30)
                                             =
1003
62
 x + 6( x + 15) + 4( x + 30)
                                             =
1003
62
 x + 6 x + 6 × 15 + 4( x + 30)
                                             =
1003
62
 x + 6 x + 90 + 4( x + 30)
                                             =
1375
62
 x + 90 + 4( x + 30)
                                             =
1375
62
 x + 90 + 4 x + 4 × 30
                                             =
1375
62
 x + 90 + 4 x + 120
                                             =
1623
62
 x + 210
    The equation is transformed into :
     
1623
62
 x + 210 = 1122

    Transposition :
     
1623
62
 x = 1122 − 210

    Combine the items on the right of the equation:
     
1623
62
 x = 912

    The coefficient of the unknown number is reduced to 1 :
      x = 912 ÷
1623
62
        = 912 ×
62
1623
        = 304 ×
62
541

    We obtained :
      x =
18848
541
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 34.839187



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