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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 (189.5+248)/31*x+293.5/31*(x+15)+124/31(x+30) = 1291 .
    Question type: Equation
    Solution:Original question:
     (
379
2
 + 248) ÷ 31 × x +
587
2
 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1291
     Left side of the equation = (
379
2
 + 248) ×
1
31
 x +
587
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
379
2
 + 248) ×
1
31
 x +
587
62
( x + 15) + 4( x + 30) = 1291
    Remove the bracket on the left of the equation:
     Left side of the equation =
379
2
 ×
1
31
 x + 248 ×
1
31
 x +
587
62
( x + 15) + 4( x + 30)
                                             =
379
62
 x + 8 x +
587
62
( x + 15) + 4( x + 30)
                                             =
875
62
 x +
587
62
( x + 15) + 4( x + 30)
                                             =
875
62
 x +
587
62
 x +
587
62
 × 15 + 4( x + 30)
                                             =
875
62
 x +
587
62
 x +
8805
62
 + 4( x + 30)
                                             =
731
31
 x +
8805
62
 + 4( x + 30)
                                             =
731
31
 x +
8805
62
 + 4 x + 4 × 30
                                             =
731
31
 x +
8805
62
 + 4 x + 120
                                             =
855
31
 x +
16245
62
    The equation is transformed into :
     
855
31
 x +
16245
62
 = 1291

    Transposition :
     
855
31
 x = 1291 −
16245
62

    Combine the items on the right of the equation:
     
855
31
 x =
63797
62

    The coefficient of the unknown number is reduced to 1 :
      x =
63797
62
 ÷
855
31
        =
63797
62
 ×
31
855
        =
63797
2
 ×
1
855

    We obtained :
      x =
63797
1710
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 37.308187



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