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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 (191+323)/31*x+217/31*(x+15)+124/31*(x+30) = 1980 .
    Question type: Equation
    Solution:Original question:
     (191 + 323) ÷ 31 × x + 217 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1980
     Left side of the equation = (191 + 323) ×
1
31
 x + 7( x + 15) + 4( x + 30)
    The equation is transformed into :
     (191 + 323) ×
1
31
 x + 7( x + 15) + 4( x + 30) = 1980
    Remove the bracket on the left of the equation:
     Left side of the equation = 191 ×
1
31
 x + 323 ×
1
31
 x + 7( x + 15) + 4( x + 30)
                                             =
191
31
 x +
323
31
 x + 7( x + 15) + 4( x + 30)
                                             =
514
31
 x + 7( x + 15) + 4( x + 30)
                                             =
514
31
 x + 7 x + 7 × 15 + 4( x + 30)
                                             =
514
31
 x + 7 x + 105 + 4( x + 30)
                                             =
731
31
 x + 105 + 4( x + 30)
                                             =
731
31
 x + 105 + 4 x + 4 × 30
                                             =
731
31
 x + 105 + 4 x + 120
                                             =
855
31
 x + 225
    The equation is transformed into :
     
855
31
 x + 225 = 1980

    Transposition :
     
855
31
 x = 1980 − 225

    Combine the items on the right of the equation:
     
855
31
 x = 1755

    The coefficient of the unknown number is reduced to 1 :
      x = 1755 ÷
855
31
        = 1755 ×
31
855
        = 39 ×
31
19

    We obtained :
      x =
1209
19
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 63.631579



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