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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+101）×0.952＋219+(x+101）*0.1+（x+101）*0.5+219 = （0.952x＋219）×1.12+x*0.1*1.12+（0.5x+219）*1.12 .
    Question type: Equation
    Solution:Original question:
     ( x + 101) ×
119
125
 + 219 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
 + 219 = (
119
125
 x + 219) ×
28
25
 + x ×
1
10
 ×
28
25
 + (
1
2
 x + 219) ×
28
25
     Left side of the equation = ( x + 101) ×
119
125
 + 438 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
    The equation is transformed into :
     ( x + 101) ×
119
125
 + 438 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
 = (
119
125
 x + 219) ×
28
25
 + x ×
1
10
 ×
28
25
 + (
1
2
 x + 219) ×
28
25
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
119
125
 + 101 ×
119
125
 + 438 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
                                             = x ×
119
125
 +
12019
125
 + 438 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
                                             =
119
125
 x +
66769
125
 + ( x + 101) ×
1
10
 + ( x + 101) ×
1
2
                                             =
119
125
 x +
66769
125
 + x ×
1
10
 + 101 ×
1
10
 + ( x + 101) ×
1
2
                                             =
119
125
 x +
66769
125
 + x ×
1
10
 +
101
10
 + ( x + 101) ×
1
2
                                             =
263
250
 x +
136063
250
 + ( x + 101) ×
1
2
                                             =
263
250
 x +
136063
250
 + x ×
1
2
 + 101 ×
1
2
                                             =
263
250
 x +
136063
250
 + x ×
1
2
 +
101
2
                                             =
194
125
 x +
74344
125
    The equation is transformed into :
     
194
125
 x +
74344
125
 = (
119
125
 x + 219) ×
28
25
 + x ×
1
10
 ×
28
25
 + (
1
2
 x + 219) ×
28
25
     Right side of the equation = (
119
125
 x + 219) ×
28
25
 + x ×
14
125
 + (
1
2
 x + 219) ×
28
25
    The equation is transformed into :
     
194
125
 x +
74344
125
 = (
119
125
 x + 219) ×
28
25
 +
14
125
 x + (
1
2
 x + 219) ×
28
25
    Remove the bracket on the right of the equation:
     Right side of the equation =
119
125
 x ×
28
25
 + 219 ×
28
25
 +
14
125
 x + (
1
2
 x + 219) ×
28
25
                                               =
3332
3125
 x +
6132
25
 +
14
125
 x + (
1
2
 x + 219) ×
28
25
                                               =
3682
3125
 x +
6132
25
 + (
1
2
 x + 219) ×
28
25
                                               =
3682
3125
 x +
6132
25
 +
1
2
 x ×
28
25
 + 219 ×
28
25
                                               =
3682
3125
 x +
6132
25
 +
14
25
 x +
6132
25
                                               =
5432
3125
 x +
12264
25
    The equation is transformed into :
     
194
125
 x +
74344
125
 =
5432
3125
 x +
12264
25

    Transposition :
     
194
125
 x −
5432
3125
 x =
12264
25
 −
74344
125

    Combine the items on the left of the equation:
      -
582
3125
 x =
12264
25
 −
74344
125

    Combine the items on the right of the equation:
      -
582
3125
 x = -
13024
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
13024
125
 =
582
3125
 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 :
     
582
3125
 x =
13024
125

    The coefficient of the unknown number is reduced to 1 :
      x =
13024
125
 ÷
582
3125
        =
13024
125
 ×
3125
582
        = 6512 ×
25
291

    We obtained :
      x =
162800
291
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 559.450172



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