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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 160x+x/2+7(x-1000)+158(x+1000)+x+52(x+500)+x/6+x/12*8+(x-500)/2 = 4948953.49 .
    Question type: Equation
    Solution:Original question:
     160 x + x ÷ 2 + 7( x 1000) + 158( x + 1000) + x + 52( x + 500) + x =
494895349
100
     Left side of the equation = 160 x + x ×
1
2
+ 7( x 1000) + 158( x + 1000) + x + 52( x + 500) + x
                                             =
487
3
x + 7( x 1000) + 158( x + 1000) + 52( x + 500) + ( x 500) ×
1
2
    The equation is transformed into :
     
487
3
x + 7( x 1000) + 158( x + 1000) + 52( x + 500) + ( x 500) ×
1
2
=
494895349
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
487
3
x + 7 x 7 × 1000 + 158( x + 1000) + 52( x + 500) + ( x 500) ×
1
2
                                             =
487
3
x + 7 x 7000 + 158( x + 1000) + 52( x + 500) + ( x 500) ×
1
2
                                             =
508
3
x 7000 + 158( x + 1000) + 52( x + 500) + ( x 500) ×
1
2
                                             =
508
3
x 7000 + 158 x + 158 × 1000 + 52( x + 500) + ( x 500) ×
1
2
                                             =
508
3
x 7000 + 158 x + 158000 + 52( x + 500) + ( x 500) ×
1
2
                                             =
982
3
x + 151000 + 52( x + 500) + ( x 500) ×
1
2
                                             =
982
3
x + 151000 + 52 x + 52 × 500 + ( x 500) ×
1
2
                                             =
982
3
x + 151000 + 52 x + 26000 + ( x 500) ×
1
2
                                             =
1138
3
x + 177000 + ( x 500) ×
1
2
                                             =
1138
3
x + 177000 + x ×
1
2
500 ×
1
2
                                             =
1138
3
x + 177000 + x ×
1
2
250
                                             =
2279
6
x + 176750
    The equation is transformed into :
     
2279
6
x + 176750 =
494895349
100

    Transposition :
     
2279
6
x =
494895349
100
176750

    Combine the items on the right of the equation:
     
2279
6
x =
477220349
100

    The coefficient of the unknown number is reduced to 1 :
      x =
477220349
100
÷
2279
6
        =
477220349
100
×
6
2279
        =
477220349
50
×
3
2279

    We obtained :
      x =
1431661047
113950
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 12563.940737



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