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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 (140.5+340)/30*x+116/30*(x+15)+120/31(x+30) = 1209 .
    Question type: Equation
    Solution:Original question:
     (
281
2
 + 340) ÷ 30 × x + 116 ÷ 30 × ( x + 15) + 120 ÷ 31 × ( x + 30) = 1209
     Left side of the equation = (
281
2
 + 340) ×
1
30
 x +
58
15
( x + 15) +
120
31
( x + 30)
    The equation is transformed into :
     (
281
2
 + 340) ×
1
30
 x +
58
15
( x + 15) +
120
31
( x + 30) = 1209
    Remove the bracket on the left of the equation:
     Left side of the equation =
281
2
 ×
1
30
 x + 340 ×
1
30
 x +
58
15
( x + 15) +
120
31
( x + 30)
                                             =
281
60
 x +
34
3
 x +
58
15
( x + 15) +
120
31
( x + 30)
                                             =
961
60
 x +
58
15
( x + 15) +
120
31
( x + 30)
                                             =
961
60
 x +
58
15
 x +
58
15
 × 15 +
120
31
( x + 30)
                                             =
961
60
 x +
58
15
 x + 58 +
120
31
( x + 30)
                                             =
1193
60
 x + 58 +
120
31
( x + 30)
                                             =
1193
60
 x + 58 +
120
31
 x +
120
31
 × 30
                                             =
1193
60
 x + 58 +
120
31
 x +
3600
31
                                             =
44183
1860
 x +
5398
31
    The equation is transformed into :
     
44183
1860
 x +
5398
31
 = 1209

    Transposition :
     
44183
1860
 x = 1209 −
5398
31

    Combine the items on the right of the equation:
     
44183
1860
 x =
32081
31

    The coefficient of the unknown number is reduced to 1 :
      x =
32081
31
 ÷
44183
1860
        =
32081
31
 ×
1860
44183
        = 32081 ×
60
44183

    We obtained :
      x =
1924860
44183
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 43.565625



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