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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 (172+206)/28*x+241/28*(x+15)+112/28(x+30) = 1867 .
    Question type: Equation
    Solution:Original question:
     (172 + 206) ÷ 28 × x + 241 ÷ 28 × ( x + 15) + 112 ÷ 28 × ( x + 30) = 1867
     Left side of the equation = (172 + 206) ×
1
28
 x +
241
28
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (172 + 206) ×
1
28
 x +
241
28
( x + 15) + 4( x + 30) = 1867
    Remove the bracket on the left of the equation:
     Left side of the equation = 172 ×
1
28
 x + 206 ×
1
28
 x +
241
28
( x + 15) + 4( x + 30)
                                             =
43
7
 x +
103
14
 x +
241
28
( x + 15) + 4( x + 30)
                                             =
27
2
 x +
241
28
( x + 15) + 4( x + 30)
                                             =
27
2
 x +
241
28
 x +
241
28
 × 15 + 4( x + 30)
                                             =
27
2
 x +
241
28
 x +
3615
28
 + 4( x + 30)
                                             =
619
28
 x +
3615
28
 + 4( x + 30)
                                             =
619
28
 x +
3615
28
 + 4 x + 4 × 30
                                             =
619
28
 x +
3615
28
 + 4 x + 120
                                             =
731
28
 x +
6975
28
    The equation is transformed into :
     
731
28
 x +
6975
28
 = 1867

    Transposition :
     
731
28
 x = 1867 −
6975
28

    Combine the items on the right of the equation:
     
731
28
 x =
45301
28

    The coefficient of the unknown number is reduced to 1 :
      x =
45301
28
 ÷
731
28
        =
45301
28
 ×
28
731
        = 45301 ×
1
731

    We obtained :
      x =
45301
731
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 61.971272



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