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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 （(2584+100-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2584 + 100 − 6140) ÷ 6140) ×
1
2
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2584 + 100 − 6140) ÷ 6140 ×
1
2
                                             = (2584 + 100 − 6140) ×
1
12280
                                             = 2584 ×
1
12280
 + 100 ×
1
12280
 − 6140 ×
1
12280
                                             =
323
1535
 +
5
614
 −
1
2
                                             = -
432
1535
    The equation is transformed into :
      -
432
1535
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the right of the equation:
     Right side of the equation = (1845 + X ) ×
1
3716
 − 3716 ×
1
3716
                                               = (1845 + X ) ×
1
3716
 − 1
                                               = 1845 ×
1
3716
 + X ×
1
3716
 − 1
                                               =
1845
3716
 + X ×
1
3716
 − 1
                                               = -
1871
3716
 +
1
3716
 X
    The equation is transformed into :
      -
432
1535
 = -
1871
3716
 +
1
3716
 X

    Transposition :
      -
1
3716
 X = -
1871
3716
 +
432
1535

    Combine the items on the right of the equation:
      -
1
3716
 X = -
1266673
5704060

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1266673
5704060
 =
1
3716
 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 :
     
1
3716
 X =
1266673
5704060

    The coefficient of the unknown number is reduced to 1 :
      X =
1266673
5704060
 ÷
1
3716
        =
1266673
5704060
 × 3716
        =
1266673
1426015
 × 929

    We obtained :
      X =
1176739217
1426015
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
1266673
1535

    Convert the result to decimal form :
      X = 825.194137



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