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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 ((2584-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2584 − 6140) ÷ 6140) ×
1
2
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2584 − 6140) ÷ 6140 ×
1
2
                                             = (2584 − 6140) ×
1
12280
                                             = 2584 ×
1
12280
 − 6140 ×
1
12280
                                             =
323
1535
 −
1
2
                                             = -
889
3070
    The equation is transformed into :
      -
889
3070
 = ((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 :
      -
889
3070
 = -
1871
3716
 +
1
3716
 X

    Transposition :
      -
1
3716
 X = -
1871
3716
 +
889
3070

    Combine the items on the right of the equation:
      -
1
3716
 X = -
1220223
5704060

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1220223
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 =
1220223
5704060

    The coefficient of the unknown number is reduced to 1 :
      X =
1220223
5704060
 ÷
1
3716
        =
1220223
5704060
 × 3716
        =
1220223
1426015
 × 929

    We obtained :
      X =
1133587167
1426015
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
1220223
1535

    Convert the result to decimal form :
      X = 794.93355



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