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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 (154.5+191.5)/31*x+248/31*(x+15)+124/31(x+30) = 1117 .
    Question type: Equation
    Solution:Original question:
     (
309
2
 +
383
2
) ÷ 31 × x + 248 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1117
     Left side of the equation = (
309
2
 +
383
2
) ×
1
31
 x + 8( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
309
2
 +
383
2
) ×
1
31
 x + 8( x + 15) + 4( x + 30) = 1117
    Remove the bracket on the left of the equation:
     Left side of the equation =
309
2
 ×
1
31
 x +
383
2
 ×
1
31
 x + 8( x + 15) + 4( x + 30)
                                             =
309
62
 x +
383
62
 x + 8( x + 15) + 4( x + 30)
                                             =
346
31
 x + 8( x + 15) + 4( x + 30)
                                             =
346
31
 x + 8 x + 8 × 15 + 4( x + 30)
                                             =
346
31
 x + 8 x + 120 + 4( x + 30)
                                             =
594
31
 x + 120 + 4( x + 30)
                                             =
594
31
 x + 120 + 4 x + 4 × 30
                                             =
594
31
 x + 120 + 4 x + 120
                                             =
718
31
 x + 240
    The equation is transformed into :
     
718
31
 x + 240 = 1117

    Transposition :
     
718
31
 x = 1117 − 240

    Combine the items on the right of the equation:
     
718
31
 x = 877

    The coefficient of the unknown number is reduced to 1 :
      x = 877 ÷
718
31
        = 877 ×
31
718

    We obtained :
      x =
27187
718
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 37.864903



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