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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 205/30*x+36.5/30*(x+15)+32/30*(x+30) = 598 .
    Question type: Equation
    Solution:Original question:
     205 ÷ 30 × x +
73
2
 ÷ 30 × ( x + 15) + 32 ÷ 30 × ( x + 30) = 598
     Left side of the equation =
41
6
 x +
73
60
( x + 15) +
16
15
( x + 30)
    The equation is transformed into :
     
41
6
 x +
73
60
( x + 15) +
16
15
( x + 30) = 598
    Remove the bracket on the left of the equation:
     Left side of the equation =
41
6
 x +
73
60
 x +
73
60
 × 15 +
16
15
( x + 30)
                                             =
41
6
 x +
73
60
 x +
73
4
 +
16
15
( x + 30)
                                             =
161
20
 x +
73
4
 +
16
15
( x + 30)
                                             =
161
20
 x +
73
4
 +
16
15
 x +
16
15
 × 30
                                             =
161
20
 x +
73
4
 +
16
15
 x + 32
                                             =
547
60
 x +
201
4
    The equation is transformed into :
     
547
60
 x +
201
4
 = 598

    Transposition :
     
547
60
 x = 598 −
201
4

    Combine the items on the right of the equation:
     
547
60
 x =
2191
4

    The coefficient of the unknown number is reduced to 1 :
      x =
2191
4
 ÷
547
60
        =
2191
4
 ×
60
547
        = 2191 ×
15
547

    We obtained :
      x =
32865
547
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 60.082267



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