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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 (47x-(2050-20.37)-(47x*0.13-3.2x-100)*0.1)*0.75+408.81 = 475.11 .
    Question type: Equation
    Solution:Original question:
     (47 x − (2050 −
2037
100
) − (47 x ×
13
100
 −
16
5
 x − 100) ×
1
10
) ×
3
4
 +
40881
100
 =
47511
100
    Remove the bracket on the left of the equation:
     Left side of the equation = 47 x ×
3
4
 − (2050 −
2037
100
) ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
1
10
 ×
3
4
 +
40881
100
                                             =
141
4
 x − (2050 −
2037
100
) ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
141
4
 x − 2050 ×
3
4
 +
2037
100
 ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
141
4
 x −
3075
2
 +
6111
400
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
141
4
 x −
89073
80
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
                                             =
141
4
 x −
89073
80
 − 47 x ×
13
100
 ×
3
40
 +
16
5
 x ×
3
40
 + 100 ×
3
40
                                             =
141
4
 x −
89073
80
 −
1833
4000
 x +
6
25
 x +
15
2
                                             =
140127
4000
 x −
88473
80
    The equation is transformed into :
     
140127
4000
 x −
88473
80
 =
47511
100

    Transposition :
     
140127
4000
 x =
47511
100
 +
88473
80

    Combine the items on the right of the equation:
     
140127
4000
 x =
632409
400

    The coefficient of the unknown number is reduced to 1 :
      x =
632409
400
 ÷
140127
4000
        =
632409
400
 ×
4000
140127
        = 210803 ×
10
46709

    We obtained :
      x =
2108030
46709
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 45.131131



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