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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 (x-3)/2019+(x-2)/2020+(x-1)/2021 = 3 .
    Question type: Equation
    Solution:Original question:
     ( x − 3) ÷ 2019 + ( x − 2) ÷ 2020 + ( x − 1) ÷ 2021 = 3
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
2019
 − 3 ×
1
2019
 + ( x − 2) ×
1
2020
 + ( x − 1) ×
1
2021
                                             = x ×
1
2019
 −
1
673
 + ( x − 2) ×
1
2020
 + ( x − 1) ×
1
2021
                                             =
1
2019
 x −
1
673
 + x ×
1
2020
 − 2 ×
1
2020
 + ( x − 1) ×
1
2021
                                             =
1
2019
 x −
1
673
 + x ×
1
2020
 −
1
1010
 + ( x − 1) ×
1
2021
                                             =
4039
4078380
 x −
1683
679730
 + ( x − 1) ×
1
2021
                                             =
4039
4078380
 x −
1683
679730
 + x ×
1
2021
 − 1 ×
1
2021
                                             =
4039
4078380
 x −
1683
679730
 + x ×
1
2021
 −
1
2021
                                             =
12241199
8242405980
 x −
4081073
1373734330
    The equation is transformed into :
     
12241199
8242405980
 x −
4081073
1373734330
 = 3

    Transposition :
     
12241199
8242405980
 x = 3 +
4081073
1373734330

    Combine the items on the right of the equation:
     
12241199
8242405980
 x =
4125284063
1373734330

    The coefficient of the unknown number is reduced to 1 :
      x =
4125284063
1373734330
 ÷
12241199
8242405980
        =
4125284063
1373734330
 ×
8242405980
12241199
        =
2353271
673
 ×
4038
6983

    We obtained :
      x =
9502508298
4699559
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
14119626
6983

    Convert the result to decimal form :
      x = 2022



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