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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+1352*3-154*3-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2584 + 1352 × 3 − 154 × 3 − 6140) ÷ 6140) ×
1
2
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2584 + 1352 × 3 − 154 × 3 − 6140) ÷ 6140 ×
1
2
                                             = (2584 + 1352 × 3 − 154 × 3 − 6140) ×
1
12280
                                             = 2584 ×
1
12280
 + 1352 × 3 ×
1
12280
 − 154 × 3 ×
1
12280
 − 6140 ×
1
12280
                                             =
323
1535
 +
507
1535
 −
231
6140
 −
1
2
                                             =
19
6140
    The equation is transformed into :
     
19
6140
 = ((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 :
     
19
6140
 = -
1871
3716
 +
1
3716
 X

    Transposition :
      -
1
3716
 X = -
1871
3716
 −
19
6140

    Combine the items on the right of the equation:
      -
1
3716
 X = -
722409
1426015

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
722409
1426015
 =
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 =
722409
1426015

    The coefficient of the unknown number is reduced to 1 :
      X =
722409
1426015
 ÷
1
3716
        =
722409
1426015
 × 3716

    We obtained :
      X =
2684471844
1426015
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
2889636
1535

    Convert the result to decimal form :
      X = 1882.499023



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