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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 (138+259)/31*x+164.5/31*(x+15)+124/31(x+30) = 1178 .
    Question type: Equation
    Solution:Original question:
     (138 + 259) ÷ 31 × x +
329
2
 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1178
     Left side of the equation = (138 + 259) ×
1
31
 x +
329
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (138 + 259) ×
1
31
 x +
329
62
( x + 15) + 4( x + 30) = 1178
    Remove the bracket on the left of the equation:
     Left side of the equation = 138 ×
1
31
 x + 259 ×
1
31
 x +
329
62
( x + 15) + 4( x + 30)
                                             =
138
31
 x +
259
31
 x +
329
62
( x + 15) + 4( x + 30)
                                             =
397
31
 x +
329
62
( x + 15) + 4( x + 30)
                                             =
397
31
 x +
329
62
 x +
329
62
 × 15 + 4( x + 30)
                                             =
397
31
 x +
329
62
 x +
4935
62
 + 4( x + 30)
                                             =
1123
62
 x +
4935
62
 + 4( x + 30)
                                             =
1123
62
 x +
4935
62
 + 4 x + 4 × 30
                                             =
1123
62
 x +
4935
62
 + 4 x + 120
                                             =
1371
62
 x +
12375
62
    The equation is transformed into :
     
1371
62
 x +
12375
62
 = 1178

    Transposition :
     
1371
62
 x = 1178 −
12375
62

    Combine the items on the right of the equation:
     
1371
62
 x =
60661
62

    The coefficient of the unknown number is reduced to 1 :
      x =
60661
62
 ÷
1371
62
        =
60661
62
 ×
62
1371
        = 60661 ×
1
1371

    We obtained :
      x =
60661
1371
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 44.245806



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