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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 ((385*5+472*1.1)*1.8*1.1-x)*16+(385*5*1.8*1.1-x)*7 = (385*5*1.8*1.1-x)*23*1.4 .
    Question type: Equation
    Solution:Original question:
     ((385 × 5 + 472 ×
11
10
) ×
9
5
 ×
11
10
 − x ) × 16 + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7 = (385 × 5 ×
9
5
 ×
11
10
 − x ) × 23 ×
7
5
    Remove the bracket on the left of the equation:
     Left side of the equation = (385 × 5 + 472 ×
11
10
) ×
9
5
 ×
11
10
 × 16 − x × 16 + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7
                                             = (385 × 5 + 472 ×
11
10
) ×
792
25
 − x × 16 + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7
                                             = 385 × 5 ×
792
25
 + 472 ×
11
10
 ×
792
25
 − 16 x + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7
                                             = 60984 +
2056032
125
 − 16 x + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7
                                             =
9679032
125
 − 16 x + (385 × 5 ×
9
5
 ×
11
10
 − x ) × 7
                                             =
9679032
125
 − 16 x + 385 × 5 ×
9
5
 ×
11
10
 × 7 − x × 7
                                             =
9679032
125
 − 16 x +
53361
2
 − x × 7
                                             =
26028189
250
 − 23 x
    The equation is transformed into :
     
26028189
250
 − 23 x = (385 × 5 ×
9
5
 ×
11
10
 − x ) × 23 ×
7
5
     Right side of the equation = (385 × 5 ×
9
5
 ×
11
10
 − x ) ×
161
5
    The equation is transformed into :
     
26028189
250
 − 23 x = (385 × 5 ×
9
5
 ×
11
10
 − x ) ×
161
5
    Remove the bracket on the right of the equation:
     Right side of the equation = 385 × 5 ×
9
5
 ×
11
10
 ×
161
5
 − x ×
161
5
                                               =
1227303
10
 − x ×
161
5
    The equation is transformed into :
     
26028189
250
 − 23 x =
1227303
10
 −
161
5
 x

    Transposition :
      - 23 x +
161
5
 x =
1227303
10
 −
26028189
250

    Combine the items on the left of the equation:
     
46
5
 x =
1227303
10
 −
26028189
250

    Combine the items on the right of the equation:
     
46
5
 x =
2327193
125

    The coefficient of the unknown number is reduced to 1 :
      x =
2327193
125
 ÷
46
5
        =
2327193
125
 ×
5
46
        =
2327193
25
 ×
1
46

    We obtained :
      x =
2327193
1150
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2023.646087



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