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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 (2x-6)÷1001+(2x-5)÷1002+(2x-4)÷1003 = 0 .
    Question type: Equation
    Solution:Original question:
     (2 x − 6) ÷ 1001 + (2 x − 5) ÷ 1002 + (2 x − 4) ÷ 1003 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 x ×
1
1001
 − 6 ×
1
1001
 + (2 x − 5) ×
1
1002
 + (2 x − 4) ×
1
1003
                                             =
2
1001
 x −
6
1001
 + (2 x − 5) ×
1
1002
 + (2 x − 4) ×
1
1003
                                             =
2
1001
 x −
6
1001
 + 2 x ×
1
1002
 − 5 ×
1
1002
 + (2 x − 4) ×
1
1003
                                             =
2
1001
 x −
6
1001
 +
1
501
 x −
5
1002
 + (2 x − 4) ×
1
1003
                                             =
2003
501501
 x −
11017
1003002
 + (2 x − 4) ×
1
1003
                                             =
2003
501501
 x −
11017
1003002
 + 2 x ×
1
1003
 − 4 ×
1
1003
                                             =
2003
501501
 x −
11017
1003002
 +
2
1003
 x −
4
1003
                                             =
3012011
503005503
 x −
15062059
1006011006
    The equation is transformed into :
     
3012011
503005503
 x −
15062059
1006011006
 = 0

    Transposition :
     
3012011
503005503
 x = 0 +
15062059
1006011006

    Combine the items on the right of the equation:
     
3012011
503005503
 x =
15062059
1006011006

    The coefficient of the unknown number is reduced to 1 :
      x =
15062059
1006011006
 ÷
3012011
503005503
        =
15062059
1006011006
 ×
503005503
3012011
        =
15062059
334
 ×
167
3012011

    We obtained :
      x =
2515363853
1006011674
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
15062059
6024022

    Convert the result to decimal form :
      x = 2.500333



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