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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 2647.2665+1100*(1+x)/(12-x)×0.6355 = 21600 .
    Question type: Equation
    Solution:Original question:
     
5294533
2000
 + 1100(1 + x ) ÷ (12 − x ) ×
1271
2000
 = 21600
     Multiply both sides of the equation by:(12 − x )
     
5294533
2000
(12 − x ) + 1100(1 + x ) ×
1271
2000
 = 21600(12 − x )
    Remove a bracket on the left of the equation:：
     
5294533
2000
 × 12 −
5294533
2000
 x + 1100(1 + x ) ×
1271
2000
 = 21600(12 − x )
    Remove a bracket on the right of the equation:：
     
5294533
2000
 × 12 −
5294533
2000
 x + 1100(1 + x ) ×
1271
2000
 = 21600 × 12 − 21600 x
    The equation is reduced to :
     
15883599
500
 −
5294533
2000
 x +
13981
20
(1 + x ) = 259200 − 21600 x
    Remove a bracket on the left of the equation:
     
15883599
500
 −
5294533
2000
 x +
13981
20
 × 1 +
13981
20
 x = 259200 − 21600 x
    The equation is reduced to :
     
15883599
500
 −
5294533
2000
 x +
13981
20
 +
13981
20
 x = 259200 − 21600 x
    The equation is reduced to :
     
4058281
125
 −
3896433
2000
 x = 259200 − 21600 x

    Transposition :
      -
3896433
2000
 x + 21600 x = 259200 −
4058281
125

    Combine the items on the left of the equation:
     
39303567
2000
 x = 259200 −
4058281
125

    Combine the items on the right of the equation:
     
39303567
2000
 x =
28341719
125

    The coefficient of the unknown number is reduced to 1 :
      x =
28341719
125
 ÷
39303567
2000
        =
28341719
125
 ×
2000
39303567
        = 914249 ×
16
1267857

    We obtained :
      x =
14627984
1267857
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 11.537566



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