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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-（2050-20.37x）-（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
 x ) − (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
 x ) ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
1
10
 ×
3
4
 +
40881
100
                                             =
141
4
 x − (2050 −
2037
100
 x ) ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
141
4
 x − 2050 ×
3
4
 +
2037
100
 x ×
3
4
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
141
4
 x −
3075
2
 +
6111
400
 x − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
 +
40881
100
                                             =
20211
400
 x −
112869
100
 − (47 x ×
13
100
 −
16
5
 x − 100) ×
3
40
                                             =
20211
400
 x −
112869
100
 − 47 x ×
13
100
 ×
3
40
 +
16
5
 x ×
3
40
 + 100 ×
3
40
                                             =
20211
400
 x −
112869
100
 −
1833
4000
 x +
6
25
 x +
15
2
                                             =
201237
4000
 x −
112119
100
    The equation is transformed into :
     
201237
4000
 x −
112119
100
 =
47511
100

    Transposition :
     
201237
4000
 x =
47511
100
 +
112119
100

    Combine the items on the right of the equation:
     
201237
4000
 x =
15963
10

    The coefficient of the unknown number is reduced to 1 :
      x =
15963
10
 ÷
201237
4000
        =
15963
10
 ×
4000
201237
        = 5321 ×
400
67079

    We obtained :
      x =
2128400
67079
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 31.729751



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