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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 (142.5+299.5)/31*x+197/31*(x+15)+111.5/31*(x+30) = 1677 .
    Question type: Equation
    Solution:Original question:
     (
285
2
 +
599
2
) ÷ 31 × x + 197 ÷ 31 × ( x + 15) +
223
2
 ÷ 31 × ( x + 30) = 1677
     Left side of the equation = (
285
2
 +
599
2
) ×
1
31
 x +
197
31
( x + 15) +
223
62
( x + 30)
    The equation is transformed into :
     (
285
2
 +
599
2
) ×
1
31
 x +
197
31
( x + 15) +
223
62
( x + 30) = 1677
    Remove the bracket on the left of the equation:
     Left side of the equation =
285
2
 ×
1
31
 x +
599
2
 ×
1
31
 x +
197
31
( x + 15) +
223
62
( x + 30)
                                             =
285
62
 x +
599
62
 x +
197
31
( x + 15) +
223
62
( x + 30)
                                             =
442
31
 x +
197
31
( x + 15) +
223
62
( x + 30)
                                             =
442
31
 x +
197
31
 x +
197
31
 × 15 +
223
62
( x + 30)
                                             =
442
31
 x +
197
31
 x +
2955
31
 +
223
62
( x + 30)
                                             =
639
31
 x +
2955
31
 +
223
62
( x + 30)
                                             =
639
31
 x +
2955
31
 +
223
62
 x +
223
62
 × 30
                                             =
639
31
 x +
2955
31
 +
223
62
 x +
3345
31
                                             =
1501
62
 x +
6300
31
    The equation is transformed into :
     
1501
62
 x +
6300
31
 = 1677

    Transposition :
     
1501
62
 x = 1677 −
6300
31

    Combine the items on the right of the equation:
     
1501
62
 x =
45687
31

    The coefficient of the unknown number is reduced to 1 :
      x =
45687
31
 ÷
1501
62
        =
45687
31
 ×
62
1501
        = 45687 ×
2
1501

    We obtained :
      x =
91374
1501
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 60.875416



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