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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 20/102+（78.4-X）/44.7+X/127.5 = 0.74 .
    Question type: Equation
    Solution:Original question:
     20 ÷ 102 + (
392
5
 − X ) ÷
447
10
 + X ÷
255
2
 =
37
50
     Left side of the equation =
10
51
 + (
392
5
 − X ) ×
10
447
 + X ×
2
255
    The equation is transformed into :
     
10
51
 + (
392
5
 − X ) ×
10
447
 +
2
255
 X =
37
50
    Remove the bracket on the left of the equation:
     Left side of the equation =
10
51
 +
392
5
 ×
10
447
 − X ×
10
447
 +
2
255
 X
                                             =
10
51
 +
784
447
 − X ×
10
447
 +
2
255
 X
                                             =
14818
7599
 −
184
12665
 X
    The equation is transformed into :
     
14818
7599
 −
184
12665
 X =
37
50

    Transposition :
      -
184
12665
 X =
37
50
 −
14818
7599

    Combine the items on the right of the equation:
      -
184
12665
 X = -
459737
379950

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
459737
379950
 =
184
12665
 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 :
     
184
12665
 X =
459737
379950

    The coefficient of the unknown number is reduced to 1 :
      X =
459737
379950
 ÷
184
12665
        =
459737
379950
 ×
12665
184
        =
459737
4470
 ×
149
184

    We obtained :
      X =
68500813
822480
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
459737
5520

    Convert the result to decimal form :
      X = 83.285688



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