Mathematics
         
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.727x+56.23/1.25-0.272x+5.23/1000 = x .
    Question type: Equation
    Solution:Original question:
     
727
1000
x +
5623
100
÷
5
4
34
125
x +
523
100
÷ 1000 = x
     Left side of the equation =
727
1000
x +
5623
125
34
125
x +
523
100000
                                             =
91
200
x +
4498923
100000
    The equation is transformed into :
     
91
200
x +
4498923
100000
= x

    Transposition :
     
91
200
x x = -
4498923
100000

    Combine the items on the left of the equation:
     
109
200
x = -
4498923
100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
4498923
100000
=
109
200
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 :
     
109
200
x =
4498923
100000

    The coefficient of the unknown number is reduced to 1 :
      x =
4498923
100000
÷
109
200
        =
4498923
100000
×
200
109
        =
4498923
500
×
1
109

    We obtained :
      x =
4498923
54500
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 82.549046



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