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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 (2016-x)/2015+(2018-x)/2017 = (2020-x)/2019+(2022-x)/2021 .
    Question type: Equation
    Solution:Original question:
     (2016 − x ) ÷ 2015 + (2018 − x ) ÷ 2017 = (2020 − x ) ÷ 2019 + (2022 − x ) ÷ 2021
    Remove the bracket on the left of the equation:
     Left side of the equation = 2016 ×
1
2015
 − x ×
1
2015
 + (2018 − x ) ×
1
2017
                                             =
2016
2015
 − x ×
1
2015
 + (2018 − x ) ×
1
2017
                                             =
2016
2015
 −
1
2015
 x + 2018 ×
1
2017
 − x ×
1
2017
                                             =
2016
2015
 −
1
2015
 x +
2018
2017
 − x ×
1
2017
                                             =
8132542
4064255
 −
4032
4064255
 x
    The equation is transformed into :
     
8132542
4064255
 −
4032
4064255
 x = (2020 − x ) ÷ 2019 + (2022 − x ) ÷ 2021
    Remove the bracket on the right of the equation:
     Right side of the equation = 2020 ×
1
2019
 − x ×
1
2019
 + (2022 − x ) ×
1
2021
                                               =
2020
2019
 − x ×
1
2019
 + (2022 − x ) ×
1
2021
                                               =
2020
2019
 −
1
2019
 x + 2022 ×
1
2021
 − x ×
1
2021
                                               =
2020
2019
 −
1
2019
 x +
2022
2021
 − x ×
1
2021
                                               =
8164838
4080399
 −
4040
4080399
 x
    The equation is transformed into :
     
8132542
4064255
 −
4032
4064255
 x =
8164838
4080399
 −
4040
4080399
 x

    Transposition :
      -
4032
4064255
 x +
4040
4080399
 x =
8164838
4080399
 −
8132542
4064255

    
        x=1    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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