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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+2639+1352-154-X-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2584 + 2639 + 1352 − 154 − X − 6140) ÷ 6140) ×
1
2
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2584 + 2639 + 1352 − 154 − X − 6140) ÷ 6140 ×
1
2
                                             = (2584 + 2639 + 1352 − 154 − X − 6140) ×
1
12280
                                             = 2584 ×
1
12280
 + 2639 ×
1
12280
 + 1352 ×
1
12280
 − 154 ×
1
12280
 − X ×
1
12280
 − 6140 ×
1
12280
                                             =
323
1535
 +
2639
12280
 +
169
1535
 −
77
6140
 − X ×
1
12280
 −
1
2
                                             =
281
12280
 −
1
12280
 X
    The equation is transformed into :
     
281
12280
 −
1
12280
 X = ((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 :
     
281
12280
 −
1
12280
 X = -
1871
3716
 +
1
3716
 X

    Transposition :
      -
1
12280
 X −
1
3716
 X = -
1871
3716
 −
281
12280

    Combine the items on the left of the equation:
      -
3999
11408120
 X = -
1871
3716
 −
281
12280

    Combine the items on the right of the equation:
      -
3999
11408120
 X = -
6005019
11408120

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
6005019
11408120
 =
3999
11408120
 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 :
     
3999
11408120
 X =
6005019
11408120

    The coefficient of the unknown number is reduced to 1 :
      X =
6005019
11408120
 ÷
3999
11408120
        =
6005019
11408120
 ×
11408120
3999
        =
2001673
929
 ×
929
1333

    We obtained :
      X =
1859554217
1238357
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
2001673
1333

    Convert the result to decimal form :
      X = 1501.630158



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