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    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 (((5168+1845-X)-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     (((5168 + 1845 X )6140) ÷ 6140) ×
1
2
= ((1845 + X )3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = ((5168 + 1845 X )6140) ÷ 6140 ×
1
2
                                             = ((5168 + 1845 X )6140) ×
1
12280
                                             = (5168 + 1845 X ) ×
1
12280
6140 ×
1
12280
                                             = (5168 + 1845 X ) ×
1
12280
1
2
                                             = 5168 ×
1
12280
+ 1845 ×
1
12280
X ×
1
12280
1
2
                                             =
646
1535
+
369
2456
X ×
1
12280
1
2
                                             =
873
12280
1
12280
X
    The equation is transformed into :
     
873
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 :
     
873
12280
1
12280
X = -
1871
3716
+
1
3716
X

    Transposition :
      -
1
12280
X
1
3716
X = -
1871
3716
873
12280

    Combine the items on the left of the equation:
      -
3999
11408120
X = -
1871
3716
873
12280

    Combine the items on the right of the equation:
      -
3999
11408120
X = -
6554987
11408120

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
6554987
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 =
6554987
11408120

    The coefficient of the unknown number is reduced to 1 :
      X =
6554987
11408120
÷
3999
11408120
        =
6554987
11408120
×
11408120
3999
        =
6554987
929
×
929
3999

    We obtained :
      X =
6089582923
3715071
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
6554987
3999

    Convert the result to decimal form :
      X = 1639.156539



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