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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 [(35700-X)/51]*2 = (217000-X)/317 .
    Question type: Equation
    Solution:Original question:
     ((35700 − X ) ÷ 51) × 2 = (217000 − X ) ÷ 317
    Remove the bracket on the left of the equation:
     Left side of the equation = (35700 − X ) ÷ 51 × 2
                                             = (35700 − X ) ×
2
51
                                             = 35700 ×
2
51
 − X ×
2
51
                                             = 1400 − X ×
2
51
    The equation is transformed into :
     1400 −
2
51
 X = (217000 − X ) ÷ 317
    Remove the bracket on the right of the equation:
     Right side of the equation = 217000 ×
1
317
 − X ×
1
317
                                               =
217000
317
 − X ×
1
317
    The equation is transformed into :
     1400 −
2
51
 X =
217000
317
 −
1
317
 X

    Transposition :
      -
2
51
 X +
1
317
 X =
217000
317
 − 1400

    Combine the items on the left of the equation:
      -
583
16167
 X =
217000
317
 − 1400

    Combine the items on the right of the equation:
      -
583
16167
 X = -
226800
317

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
226800
317
 =
583
16167
 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 :
     
583
16167
 X =
226800
317

    The coefficient of the unknown number is reduced to 1 :
      X =
226800
317
 ÷
583
16167
        =
226800
317
 ×
16167
583

    We obtained :
      X =
3666675600
184811
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
11566800
583

    Convert the result to decimal form :
      X = 19840.137221



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