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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 x/6+30/9/2+(x+22)/45/8 = (x+22)/5+30/25/4+x/75/16 .
    Question type: Equation
    Solution:Original question:
      x ÷ 6 + 30 ÷ 9 ÷ 2 + ( x + 22) ÷ 45 ÷ 8 = ( x + 22) ÷ 5 + 30 ÷ 25 ÷ 4 + x ÷ 75 ÷ 16
     Left side of the equation = x ×
1
6
 +
5
3
 + ( x + 22) ×
1
360
    The equation is transformed into :
     
1
6
 x +
5
3
 + ( x + 22) ×
1
360
 = ( x + 22) ÷ 5 + 30 ÷ 25 ÷ 4 + x ÷ 75 ÷ 16
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
6
 x +
5
3
 + x ×
1
360
 + 22 ×
1
360
                                             =
1
6
 x +
5
3
 + x ×
1
360
 +
11
180
                                             =
61
360
 x +
311
180
    The equation is transformed into :
     
61
360
 x +
311
180
 = ( x + 22) ÷ 5 + 30 ÷ 25 ÷ 4 + x ÷ 75 ÷ 16
     Right side of the equation = ( x + 22) ×
1
5
 +
3
10
 + x ×
1
1200
    The equation is transformed into :
     
61
360
 x +
311
180
 = ( x + 22) ×
1
5
 +
3
10
 +
1
1200
 x
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
5
 + 22 ×
1
5
 +
3
10
 +
1
1200
 x
                                               = x ×
1
5
 +
22
5
 +
3
10
 +
1
1200
 x
                                               =
241
1200
 x +
47
10
    The equation is transformed into :
     
61
360
 x +
311
180
 =
241
1200
 x +
47
10

    Transposition :
     
61
360
 x −
241
1200
 x =
47
10
 −
311
180

    Combine the items on the left of the equation:
      -
113
3600
 x =
47
10
 −
311
180

    Combine the items on the right of the equation:
      -
113
3600
 x =
107
36

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
107
36
 =
113
3600
 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 :
     
113
3600
 x = -
107
36

    The coefficient of the unknown number is reduced to 1 :
      x = -
107
36
 ÷
113
3600
        = -
107
36
 ×
3600
113
        = - 107 ×
100
113

    We obtained :
      x = -
10700
113
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 94.690265



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