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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 (176.5+317)/31*x+104/31*(x+15)+124/31(x+30) = 846 .
    Question type: Equation
    Solution:Original question:
     (
353
2
 + 317) ÷ 31 × x + 104 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 846
     Left side of the equation = (
353
2
 + 317) ×
1
31
 x +
104
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
353
2
 + 317) ×
1
31
 x +
104
31
( x + 15) + 4( x + 30) = 846
    Remove the bracket on the left of the equation:
     Left side of the equation =
353
2
 ×
1
31
 x + 317 ×
1
31
 x +
104
31
( x + 15) + 4( x + 30)
                                             =
353
62
 x +
317
31
 x +
104
31
( x + 15) + 4( x + 30)
                                             =
987
62
 x +
104
31
( x + 15) + 4( x + 30)
                                             =
987
62
 x +
104
31
 x +
104
31
 × 15 + 4( x + 30)
                                             =
987
62
 x +
104
31
 x +
1560
31
 + 4( x + 30)
                                             =
1195
62
 x +
1560
31
 + 4( x + 30)
                                             =
1195
62
 x +
1560
31
 + 4 x + 4 × 30
                                             =
1195
62
 x +
1560
31
 + 4 x + 120
                                             =
1443
62
 x +
5280
31
    The equation is transformed into :
     
1443
62
 x +
5280
31
 = 846

    Transposition :
     
1443
62
 x = 846 −
5280
31

    Combine the items on the right of the equation:
     
1443
62
 x =
20946
31

    The coefficient of the unknown number is reduced to 1 :
      x =
20946
31
 ÷
1443
62
        =
20946
31
 ×
62
1443
        = 6982 ×
2
481

    We obtained :
      x =
13964
481
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 29.031185



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