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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 (62.9*0.97-X)*0.83-X*0.02-62.9*0.5 = ((114*0.97-23)*0.83-23*0.02-114*0.5)*0.55 .
    Question type: Equation
    Solution:Original question:
     (
629
10
 ×
97
100
 − X ) ×
83
100
 − X ×
1
50
 −
629
10
 ×
1
2
 = ((114 ×
97
100
 − 23) ×
83
100
 − 23 ×
1
50
 − 114 ×
1
2
) ×
11
20
     Left side of the equation = (
629
10
 ×
97
100
 − X ) ×
83
100
 − X ×
1
50
 −
629
20
    The equation is transformed into :
     (
629
10
 ×
97
100
 − X ) ×
83
100
 −
1
50
 X −
629
20
 = ((114 ×
97
100
 − 23) ×
83
100
 − 23 ×
1
50
 − 114 ×
1
2
) ×
11
20
    Remove the bracket on the left of the equation:
     Left side of the equation =
629
10
 ×
97
100
 ×
83
100
 − X ×
83
100
 −
1
50
 X −
629
20
                                             =
5064079
100000
 − X ×
83
100
 −
1
50
 X −
629
20
                                             =
1919079
100000
 −
17
20
 X
    The equation is transformed into :
     
1919079
100000
 −
17
20
 X = ((114 ×
97
100
 − 23) ×
83
100
 − 23 ×
1
50
 − 114 ×
1
2
) ×
11
20
    Remove the bracket on the right of the equation:
     Right side of the equation = (114 ×
97
100
 − 23) ×
83
100
 ×
11
20
 − 23 ×
1
50
 ×
11
20
 − 114 ×
1
2
 ×
11
20
                                               = (114 ×
97
100
 − 23) ×
913
2000
 −
253
1000
 −
627
20
                                               = (114 ×
97
100
 − 23) ×
913
2000
 −
31603
1000
                                               = 114 ×
97
100
 ×
913
2000
 − 23 ×
913
2000
 −
31603
1000
                                               =
5047977
100000
 −
20999
2000
 −
31603
1000
                                               =
837727
100000
    The equation is transformed into :
     
1919079
100000
 −
17
20
 X =
837727
100000

    Transposition :
      -
17
20
 X =
837727
100000
 −
1919079
100000

    Combine the items on the right of the equation:
      -
17
20
 X = -
135169
12500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
135169
12500
 =
17
20
 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
17
20
 X =
135169
12500

    The coefficient of the unknown number is reduced to 1 :
      X =
135169
12500
 ÷
17
20
        =
135169
12500
 ×
20
17
        =
135169
625
 ×
1
17

    We obtained :
      X =
135169
10625
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 12.721788



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