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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 (118+201)/30*x+200/30*(x+15)+120/30(x+30) = 892 .
    Question type: Equation
    Solution:Original question:
     (118 + 201) ÷ 30 × x + 200 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 892
     Left side of the equation = (118 + 201) ×
1
30
 x +
20
3
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (118 + 201) ×
1
30
 x +
20
3
( x + 15) + 4( x + 30) = 892
    Remove the bracket on the left of the equation:
     Left side of the equation = 118 ×
1
30
 x + 201 ×
1
30
 x +
20
3
( x + 15) + 4( x + 30)
                                             =
59
15
 x +
67
10
 x +
20
3
( x + 15) + 4( x + 30)
                                             =
319
30
 x +
20
3
( x + 15) + 4( x + 30)
                                             =
319
30
 x +
20
3
 x +
20
3
 × 15 + 4( x + 30)
                                             =
319
30
 x +
20
3
 x + 100 + 4( x + 30)
                                             =
173
10
 x + 100 + 4( x + 30)
                                             =
173
10
 x + 100 + 4 x + 4 × 30
                                             =
173
10
 x + 100 + 4 x + 120
                                             =
213
10
 x + 220
    The equation is transformed into :
     
213
10
 x + 220 = 892

    Transposition :
     
213
10
 x = 892 − 220

    Combine the items on the right of the equation:
     
213
10
 x = 672

    The coefficient of the unknown number is reduced to 1 :
      x = 672 ÷
213
10
        = 672 ×
10
213
        = 224 ×
10
71

    We obtained :
      x =
2240
71
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 31.549296



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