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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 22.8*10+(x/3.4)*15.6 = 10*3.14*0.16+（(x/3.4)*15.6）/7.8*10 .
    Question type: Equation
    Solution:Original question:
     
114
5
 × 10 + ( x ÷
17
5
) ×
78
5
 = 10 ×
157
50
 ×
4
25
 + (( x ÷
17
5
) ×
78
5
) ÷
39
5
 × 10
     Left side of the equation = 228 + ( x ÷
17
5
) ×
78
5
    The equation is transformed into :
     228 + ( x ÷
17
5
) ×
78
5
 = 10 ×
157
50
 ×
4
25
 + (( x ÷
17
5
) ×
78
5
) ÷
39
5
 × 10
    Remove the bracket on the left of the equation:
     Left side of the equation = 228 + x ÷
17
5
 ×
78
5
                                             = 228 + x ×
78
17
    The equation is transformed into :
     228 +
78
17
 x = 10 ×
157
50
 ×
4
25
 + (( x ÷
17
5
) ×
78
5
) ÷
39
5
 × 10
     Right side of the equation =
628
125
 + (( x ÷
17
5
) ×
78
5
) ×
50
39
    The equation is transformed into :
     228 +
78
17
 x =
628
125
 + (( x ÷
17
5
) ×
78
5
) ×
50
39
    Remove the bracket on the right of the equation:
     Right side of the equation =
628
125
 + ( x ÷
17
5
) ×
78
5
 ×
50
39
                                               =
628
125
 + ( x ÷
17
5
) × 20
                                               =
628
125
 + x ÷
17
5
 × 20
                                               =
628
125
 + x ×
100
17
    The equation is transformed into :
     228 +
78
17
 x =
628
125
 +
100
17
 x

    Transposition :
     
78
17
 x −
100
17
 x =
628
125
 − 228

    Combine the items on the left of the equation:
      -
22
17
 x =
628
125
 − 228

    Combine the items on the right of the equation:
      -
22
17
 x = -
27872
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
27872
125
 =
22
17
 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 :
     
22
17
 x =
27872
125

    The coefficient of the unknown number is reduced to 1 :
      x =
27872
125
 ÷
22
17
        =
27872
125
 ×
17
22
        =
13936
125
 ×
17
11

    We obtained :
      x =
236912
1375
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 172.299636



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