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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 86/100×（x-7） = 92/100×（x-4） .
    Question type: Equation
    Solution:Original question:
     86 ÷ 100 × ( x − 7) = 92 ÷ 100 × ( x − 4)
     Left side of the equation =
43
50
( x − 7)
    The equation is transformed into :
     
43
50
( x − 7) = 92 ÷ 100 × ( x − 4)
    Remove the bracket on the left of the equation:
     Left side of the equation =
43
50
 x −
43
50
 × 7
                                             =
43
50
 x −
301
50
    The equation is transformed into :
     
43
50
 x −
301
50
 = 92 ÷ 100 × ( x − 4)
     Right side of the equation =
23
25
( x − 4)
    The equation is transformed into :
     
43
50
 x −
301
50
 =
23
25
( x − 4)
    Remove the bracket on the right of the equation:
     Right side of the equation =
23
25
 x −
23
25
 × 4
                                               =
23
25
 x −
92
25
    The equation is transformed into :
     
43
50
 x −
301
50
 =
23
25
 x −
92
25

    Transposition :
     
43
50
 x −
23
25
 x = -
92
25
 +
301
50

    Combine the items on the left of the equation:
      -
3
50
 x = -
92
25
 +
301
50

    Combine the items on the right of the equation:
      -
3
50
 x =
117
50

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
117
50
 =
3
50
 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 :
     
3
50
 x = -
117
50

    The coefficient of the unknown number is reduced to 1 :
      x = -
117
50
 ÷
3
50
        = -
117
50
 ×
50
3
        = - 39 × 1

    We obtained :
      x = - 39
    This is the solution of the equation.



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