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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 = (0.5x-5)*0.03+(0.5x-5)*0.97*0.2+10+80+0.5x .
    Question type: Equation
    Solution:Original question:
      x = (
1
2
 x − 5) ×
3
100
 + (
1
2
 x − 5) ×
97
100
 ×
1
5
 + 10 + 80 +
1
2
 x
     Right side of the equation = (
1
2
 x − 5) ×
3
100
 + (
1
2
 x − 5) ×
97
500
 + 10 + 80 +
1
2
 x
                                               = (
1
2
 x − 5) ×
3
100
 + (
1
2
 x − 5) ×
97
500
 + 90 +
1
2
 x
    The equation is transformed into :
      x = (
1
2
 x − 5) ×
3
100
 + (
1
2
 x − 5) ×
97
500
 + 90 +
1
2
 x
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
2
 x ×
3
100
 − 5 ×
3
100
 + (
1
2
 x − 5) ×
97
500
 + 90 +
1
2
 x
                                               =
3
200
 x −
3
20
 + (
1
2
 x − 5) ×
97
500
 + 90 +
1
2
 x
                                               =
103
200
 x +
1797
20
 + (
1
2
 x − 5) ×
97
500
                                               =
103
200
 x +
1797
20
 +
1
2
 x ×
97
500
 − 5 ×
97
500
                                               =
103
200
 x +
1797
20
 +
97
1000
 x −
97
100
                                               =
153
250
 x +
2222
25
    The equation is transformed into :
      x =
153
250
 x +
2222
25

    Transposition :
      x −
153
250
 x =
2222
25

    Combine the items on the left of the equation:
     
97
250
 x =
2222
25

    The coefficient of the unknown number is reduced to 1 :
      x =
2222
25
 ÷
97
250
        =
2222
25
 ×
250
97
        = 2222 ×
10
97

    We obtained :
      x =
22220
97
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 229.072165



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