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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 (150+383.5)/30*x+164/30*(x+15)+90/30*(x+30) = 2410 .
    Question type: Equation
    Solution:Original question:
     (150 +
767
2
) ÷ 30 × x + 164 ÷ 30 × ( x + 15) + 90 ÷ 30 × ( x + 30) = 2410
     Left side of the equation = (150 +
767
2
) ×
1
30
 x +
82
15
( x + 15) + 3( x + 30)
    The equation is transformed into :
     (150 +
767
2
) ×
1
30
 x +
82
15
( x + 15) + 3( x + 30) = 2410
    Remove the bracket on the left of the equation:
     Left side of the equation = 150 ×
1
30
 x +
767
2
 ×
1
30
 x +
82
15
( x + 15) + 3( x + 30)
                                             = 5 x +
767
60
 x +
82
15
( x + 15) + 3( x + 30)
                                             =
1067
60
 x +
82
15
( x + 15) + 3( x + 30)
                                             =
1067
60
 x +
82
15
 x +
82
15
 × 15 + 3( x + 30)
                                             =
1067
60
 x +
82
15
 x + 82 + 3( x + 30)
                                             =
93
4
 x + 82 + 3( x + 30)
                                             =
93
4
 x + 82 + 3 x + 3 × 30
                                             =
93
4
 x + 82 + 3 x + 90
                                             =
105
4
 x + 172
    The equation is transformed into :
     
105
4
 x + 172 = 2410

    Transposition :
     
105
4
 x = 2410 − 172

    Combine the items on the right of the equation:
     
105
4
 x = 2238

    The coefficient of the unknown number is reduced to 1 :
      x = 2238 ÷
105
4
        = 2238 ×
4
105
        = 746 ×
4
35

    We obtained :
      x =
2984
35
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 85.257143



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