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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 (150.5+372)/31*x+101/31*(x+15)+124/31(x+30) = 1526 .
    Question type: Equation
    Solution:Original question:
     (
301
2
 + 372) ÷ 31 × x + 101 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1526
     Left side of the equation = (
301
2
 + 372) ×
1
31
 x +
101
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
301
2
 + 372) ×
1
31
 x +
101
31
( x + 15) + 4( x + 30) = 1526
    Remove the bracket on the left of the equation:
     Left side of the equation =
301
2
 ×
1
31
 x + 372 ×
1
31
 x +
101
31
( x + 15) + 4( x + 30)
                                             =
301
62
 x + 12 x +
101
31
( x + 15) + 4( x + 30)
                                             =
1045
62
 x +
101
31
( x + 15) + 4( x + 30)
                                             =
1045
62
 x +
101
31
 x +
101
31
 × 15 + 4( x + 30)
                                             =
1045
62
 x +
101
31
 x +
1515
31
 + 4( x + 30)
                                             =
1247
62
 x +
1515
31
 + 4( x + 30)
                                             =
1247
62
 x +
1515
31
 + 4 x + 4 × 30
                                             =
1247
62
 x +
1515
31
 + 4 x + 120
                                             =
1495
62
 x +
5235
31
    The equation is transformed into :
     
1495
62
 x +
5235
31
 = 1526

    Transposition :
     
1495
62
 x = 1526 −
5235
31

    Combine the items on the right of the equation:
     
1495
62
 x =
42071
31

    The coefficient of the unknown number is reduced to 1 :
      x =
42071
31
 ÷
1495
62
        =
42071
31
 ×
62
1495
        = 42071 ×
2
1495

    We obtained :
      x =
84142
1495
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 56.282274



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