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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 (168+223)/28*x+224/28*(15+x)+112/28*(30+x) = 1963 .
    Question type: Equation
    Solution:Original question:
     (168 + 223) ÷ 28 × x + 224 ÷ 28 × (15 + x ) + 112 ÷ 28 × (30 + x ) = 1963
     Left side of the equation = (168 + 223) ×
1
28
x + 8(15 + x ) + 4(30 + x )
    The equation is transformed into :
     (168 + 223) ×
1
28
x + 8(15 + x ) + 4(30 + x ) = 1963
    Remove the bracket on the left of the equation:
     Left side of the equation = 168 ×
1
28
x + 223 ×
1
28
x + 8(15 + x ) + 4(30 + x )
                                             = 6 x +
223
28
x + 8(15 + x ) + 4(30 + x )
                                             =
391
28
x + 8(15 + x ) + 4(30 + x )
                                             =
391
28
x + 8 × 15 + 8 x + 4(30 + x )
                                             =
391
28
x + 120 + 8 x + 4(30 + x )
                                             =
615
28
x + 120 + 4(30 + x )
                                             =
615
28
x + 120 + 4 × 30 + 4 x
                                             =
615
28
x + 120 + 120 + 4 x
                                             =
727
28
x + 240
    The equation is transformed into :
     
727
28
x + 240 = 1963

    Transposition :
     
727
28
x = 1963240

    Combine the items on the right of the equation:
     
727
28
x = 1723

    The coefficient of the unknown number is reduced to 1 :
      x = 1723 ÷
727
28
        = 1723 ×
28
727

    We obtained :
      x =
48244
727
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 66.360385



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