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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 (181.5+293)/30*x+210/30*(x+15)+120/30*(x+30) = 1880 .
    Question type: Equation
    Solution:Original question:
     (
363
2
 + 293) ÷ 30 × x + 210 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 1880
     Left side of the equation = (
363
2
 + 293) ×
1
30
 x + 7( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
363
2
 + 293) ×
1
30
 x + 7( x + 15) + 4( x + 30) = 1880
    Remove the bracket on the left of the equation:
     Left side of the equation =
363
2
 ×
1
30
 x + 293 ×
1
30
 x + 7( x + 15) + 4( x + 30)
                                             =
121
20
 x +
293
30
 x + 7( x + 15) + 4( x + 30)
                                             =
949
60
 x + 7( x + 15) + 4( x + 30)
                                             =
949
60
 x + 7 x + 7 × 15 + 4( x + 30)
                                             =
949
60
 x + 7 x + 105 + 4( x + 30)
                                             =
1369
60
 x + 105 + 4( x + 30)
                                             =
1369
60
 x + 105 + 4 x + 4 × 30
                                             =
1369
60
 x + 105 + 4 x + 120
                                             =
1609
60
 x + 225
    The equation is transformed into :
     
1609
60
 x + 225 = 1880

    Transposition :
     
1609
60
 x = 1880 − 225

    Combine the items on the right of the equation:
     
1609
60
 x = 1655

    The coefficient of the unknown number is reduced to 1 :
      x = 1655 ÷
1609
60
        = 1655 ×
60
1609

    We obtained :
      x =
99300
1609
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 61.715351



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