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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 （751.82-X-1061.16）/1061.16 = (352.53+X-613.82)/613.82 .
    Question type: Equation
    Solution:Original question:
     (
37591
50
 − X −
26529
25
) ÷
26529
25
 = (
35253
100
 + X −
30691
50
) ÷
30691
50
    Remove the bracket on the left of the equation:
     Left side of the equation =
37591
50
 ×
25
26529
 − X ×
25
26529
 −
26529
25
 ×
25
26529
                                             =
37591
53058
 − X ×
25
26529
 − 1
                                             = -
15467
53058
 −
25
26529
 X
    The equation is transformed into :
      -
15467
53058
 −
25
26529
 X = (
35253
100
 + X −
30691
50
) ÷
30691
50
    Remove the bracket on the right of the equation:
     Right side of the equation =
35253
100
 ×
50
30691
 + X ×
50
30691
 −
30691
50
 ×
50
30691
                                               =
35253
61382
 + X ×
50
30691
 − 1
                                               = -
26129
61382
 +
50
30691
 X
    The equation is transformed into :
      -
15467
53058
 −
25
26529
 X = -
26129
61382
 +
50
30691
 X

    Transposition :
      -
25
26529
 X −
50
30691
 X = -
26129
61382
 +
15467
53058

    Combine the items on the left of the equation:
      -
2093725
814201539
 X = -
26129
61382
 +
15467
53058

    Combine the items on the right of the equation:
      -
2093725
814201539
 X = -
109239272
814201539

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
109239272
814201539
 =
2093725
814201539
 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 :
     
2093725
814201539
 X =
109239272
814201539

    The coefficient of the unknown number is reduced to 1 :
      X =
109239272
814201539
 ÷
2093725
814201539
        =
109239272
814201539
 ×
814201539
2093725
        =
109239272
653
 ×
653
2093725

    We obtained :
      X =
71333244616
1367202425
    This is the solution of the equation.



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