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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 （(2093+816+1080-154*2-X-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2093 + 816 + 1080 − 154 × 2 − X − 6140) ÷ 6140) ×
1
2
 = ((1845 + X ) − 3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2093 + 816 + 1080 − 154 × 2 − X − 6140) ÷ 6140 ×
1
2
                                             = (2093 + 816 + 1080 − 154 × 2 − X − 6140) ×
1
12280
                                             = 2093 ×
1
12280
 + 816 ×
1
12280
 + 1080 ×
1
12280
 − 154 × 2 ×
1
12280
 − X ×
1
12280
 − 6140
                                             =
2093
12280
 +
102
1535
 +
27
307
 −
77
3070
 − X ×
1
12280
 −
1
2
                                             = -
2459
12280
 −
1
12280
 X
    The equation is transformed into :
      -
2459
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 :
      -
2459
12280
 −
1
12280
 X = -
1871
3716
 +
1
3716
 X

    Transposition :
      -
1
12280
 X −
1
3716
 X = -
1871
3716
 +
2459
12280

    Combine the items on the left of the equation:
      -
3999
11408120
 X = -
1871
3716
 +
2459
12280

    Combine the items on the right of the equation:
      -
3999
11408120
 X = -
3459559
11408120

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3459559
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 =
3459559
11408120

    The coefficient of the unknown number is reduced to 1 :
      X =
3459559
11408120
 ÷
3999
11408120
        =
3459559
11408120
 ×
11408120
3999
        =
3459559
929
 ×
929
3999

    We obtained :
      X =
3213930311
3715071
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
3459559
3999

    Convert the result to decimal form :
      X = 865.106027



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