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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)/2015+(x-2)/2016+(x-1)/2017 = 3 .
    Question type: Equation
    Solution:Original question:
     ( x 3) ÷ 2015 + ( x 2) ÷ 2016 + ( x 1) ÷ 2017 = 3
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
2015
3 ×
1
2015
+ ( x 2) ×
1
2016
+ ( x 1) ×
1
2017
                                             = x ×
1
2015
3
2015
+ ( x 2) ×
1
2016
+ ( x 1) ×
1
2017
                                             =
1
2015
x
3
2015
+ x ×
1
2016
2 ×
1
2016
+ ( x 1) ×
1
2017
                                             =
1
2015
x
3
2015
+ x ×
1
2016
1
1008
+ ( x 1) ×
1
2017
                                             =
4031
4062240
x
5039
2031120
+ ( x 1) ×
1
2017
                                             =
4031
4062240
x
5039
2031120
+ x ×
1
2017
1 ×
1
2017
                                             =
4031
4062240
x
5039
2031120
+ x ×
1
2017
1
2017
                                             =
12192767
8193538080
x
12194783
4096769040
    The equation is transformed into :
     
12192767
8193538080
x
12194783
4096769040
= 3

    Transposition :
     
12192767
8193538080
x = 3 +
12194783
4096769040

    
        x=2018
    
    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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