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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-X)*0.83-X*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
 − X ) ×
83
100
 − X ×
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
 − X ) ×
83
100
 − X ×
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
 − X ) ×
83
100
 − X ×
1
50
 − 114 ×
1
2
) ×
11
20
    Remove the bracket on the right of the equation:
     Right side of the equation = (114 ×
97
100
 − X ) ×
83
100
 ×
11
20
 − X ×
1
50
 ×
11
20
 − 114 ×
1
2
 ×
11
20
                                               = (114 ×
97
100
 − X ) ×
913
2000
 − X ×
11
1000
 −
627
20
                                               = 114 ×
97
100
 ×
913
2000
 − X ×
913
2000
 −
11
1000
 X −
627
20
                                               =
5047977
100000
 − X ×
913
2000
 −
11
1000
 X −
627
20
                                               =
1912977
100000
 −
187
400
 X
    The equation is transformed into :
     
1919079
100000
 −
17
20
 X =
1912977
100000
 −
187
400
 X

    Transposition :
      -
17
20
 X +
187
400
 X =
1912977
100000
 −
1919079
100000

    Combine the items on the left of the equation:
      -
153
400
 X =
1912977
100000
 −
1919079
100000

    Combine the items on the right of the equation:
      -
153
400
 X = -
3051
50000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3051
50000
 =
153
400
 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 :
     
153
400
 X =
3051
50000

    The coefficient of the unknown number is reduced to 1 :
      X =
3051
50000
 ÷
153
400
        =
3051
50000
 ×
400
153
        =
339
125
 ×
1
17

    We obtained :
      X =
339
2125
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.159529



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