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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 (128.5+209.5)/31*x+217/31*(x+15)+124/31(x+30) = 1623 .
    Question type: Equation
    Solution:Original question:
     (
257
2
 +
419
2
) ÷ 31 × x + 217 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1623
     Left side of the equation = (
257
2
 +
419
2
) ×
1
31
 x + 7( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
257
2
 +
419
2
) ×
1
31
 x + 7( x + 15) + 4( x + 30) = 1623
    Remove the bracket on the left of the equation:
     Left side of the equation =
257
2
 ×
1
31
 x +
419
2
 ×
1
31
 x + 7( x + 15) + 4( x + 30)
                                             =
257
62
 x +
419
62
 x + 7( x + 15) + 4( x + 30)
                                             =
338
31
 x + 7( x + 15) + 4( x + 30)
                                             =
338
31
 x + 7 x + 7 × 15 + 4( x + 30)
                                             =
338
31
 x + 7 x + 105 + 4( x + 30)
                                             =
555
31
 x + 105 + 4( x + 30)
                                             =
555
31
 x + 105 + 4 x + 4 × 30
                                             =
555
31
 x + 105 + 4 x + 120
                                             =
679
31
 x + 225
    The equation is transformed into :
     
679
31
 x + 225 = 1623

    Transposition :
     
679
31
 x = 1623 − 225

    Combine the items on the right of the equation:
     
679
31
 x = 1398

    The coefficient of the unknown number is reduced to 1 :
      x = 1398 ÷
679
31
        = 1398 ×
31
679

    We obtained :
      x =
43338
679
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 63.826215



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