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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 (198.5+217)/31*x+279/31*(x+15)+124/31(x+30) = 1918 .
    Question type: Equation
    Solution:Original question:
     (
397
2
 + 217) ÷ 31 × x + 279 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1918
     Left side of the equation = (
397
2
 + 217) ×
1
31
 x + 9( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
397
2
 + 217) ×
1
31
 x + 9( x + 15) + 4( x + 30) = 1918
    Remove the bracket on the left of the equation:
     Left side of the equation =
397
2
 ×
1
31
 x + 217 ×
1
31
 x + 9( x + 15) + 4( x + 30)
                                             =
397
62
 x + 7 x + 9( x + 15) + 4( x + 30)
                                             =
831
62
 x + 9( x + 15) + 4( x + 30)
                                             =
831
62
 x + 9 x + 9 × 15 + 4( x + 30)
                                             =
831
62
 x + 9 x + 135 + 4( x + 30)
                                             =
1389
62
 x + 135 + 4( x + 30)
                                             =
1389
62
 x + 135 + 4 x + 4 × 30
                                             =
1389
62
 x + 135 + 4 x + 120
                                             =
1637
62
 x + 255
    The equation is transformed into :
     
1637
62
 x + 255 = 1918

    Transposition :
     
1637
62
 x = 1918 − 255

    Combine the items on the right of the equation:
     
1637
62
 x = 1663

    The coefficient of the unknown number is reduced to 1 :
      x = 1663 ÷
1637
62
        = 1663 ×
62
1637

    We obtained :
      x =
103106
1637
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 62.984728



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