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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 （65+98）/31*x+118.5/31*(x+15)+69/31*(x+30) = 1415 .
    Question type: Equation
    Solution:Original question:
     (65 + 98) ÷ 31 × x +
237
2
 ÷ 31 × ( x + 15) + 69 ÷ 31 × ( x + 30) = 1415
     Left side of the equation = (65 + 98) ×
1
31
 x +
237
62
( x + 15) +
69
31
( x + 30)
    The equation is transformed into :
     (65 + 98) ×
1
31
 x +
237
62
( x + 15) +
69
31
( x + 30) = 1415
    Remove the bracket on the left of the equation:
     Left side of the equation = 65 ×
1
31
 x + 98 ×
1
31
 x +
237
62
( x + 15) +
69
31
( x + 30)
                                             =
65
31
 x +
98
31
 x +
237
62
( x + 15) +
69
31
( x + 30)
                                             =
163
31
 x +
237
62
( x + 15) +
69
31
( x + 30)
                                             =
163
31
 x +
237
62
 x +
237
62
 × 15 +
69
31
( x + 30)
                                             =
163
31
 x +
237
62
 x +
3555
62
 +
69
31
( x + 30)
                                             =
563
62
 x +
3555
62
 +
69
31
( x + 30)
                                             =
563
62
 x +
3555
62
 +
69
31
 x +
69
31
 × 30
                                             =
563
62
 x +
3555
62
 +
69
31
 x +
2070
31
                                             =
701
62
 x +
7695
62
    The equation is transformed into :
     
701
62
 x +
7695
62
 = 1415

    Transposition :
     
701
62
 x = 1415 −
7695
62

    Combine the items on the right of the equation:
     
701
62
 x =
80035
62

    The coefficient of the unknown number is reduced to 1 :
      x =
80035
62
 ÷
701
62
        =
80035
62
 ×
62
701
        = 80035 ×
1
701

    We obtained :
      x =
80035
701
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 114.172611



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