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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 (155+271.5)/31*x+177/31*(x+15)+124/31(x+30) = 1029 .
    Question type: Equation
    Solution:Original question:
     (155 +
543
2
) ÷ 31 × x + 177 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1029
     Left side of the equation = (155 +
543
2
) ×
1
31
 x +
177
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (155 +
543
2
) ×
1
31
 x +
177
31
( x + 15) + 4( x + 30) = 1029
    Remove the bracket on the left of the equation:
     Left side of the equation = 155 ×
1
31
 x +
543
2
 ×
1
31
 x +
177
31
( x + 15) + 4( x + 30)
                                             = 5 x +
543
62
 x +
177
31
( x + 15) + 4( x + 30)
                                             =
853
62
 x +
177
31
( x + 15) + 4( x + 30)
                                             =
853
62
 x +
177
31
 x +
177
31
 × 15 + 4( x + 30)
                                             =
853
62
 x +
177
31
 x +
2655
31
 + 4( x + 30)
                                             =
1207
62
 x +
2655
31
 + 4( x + 30)
                                             =
1207
62
 x +
2655
31
 + 4 x + 4 × 30
                                             =
1207
62
 x +
2655
31
 + 4 x + 120
                                             =
1455
62
 x +
6375
31
    The equation is transformed into :
     
1455
62
 x +
6375
31
 = 1029

    Transposition :
     
1455
62
 x = 1029 −
6375
31

    Combine the items on the right of the equation:
     
1455
62
 x =
25524
31

    The coefficient of the unknown number is reduced to 1 :
      x =
25524
31
 ÷
1455
62
        =
25524
31
 ×
62
1455
        = 8508 ×
2
485

    We obtained :
      x =
17016
485
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 35.084536



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