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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 (150.5+177.5)/30*x+263/30*(x+15)+120/30(x+30) = 1017 .
    Question type: Equation
    Solution:Original question:
     (
301
2
 +
355
2
) ÷ 30 × x + 263 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 1017
     Left side of the equation = (
301
2
 +
355
2
) ×
1
30
 x +
263
30
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
301
2
 +
355
2
) ×
1
30
 x +
263
30
( x + 15) + 4( x + 30) = 1017
    Remove the bracket on the left of the equation:
     Left side of the equation =
301
2
 ×
1
30
 x +
355
2
 ×
1
30
 x +
263
30
( x + 15) + 4( x + 30)
                                             =
301
60
 x +
71
12
 x +
263
30
( x + 15) + 4( x + 30)
                                             =
164
15
 x +
263
30
( x + 15) + 4( x + 30)
                                             =
164
15
 x +
263
30
 x +
263
30
 × 15 + 4( x + 30)
                                             =
164
15
 x +
263
30
 x +
263
2
 + 4( x + 30)
                                             =
197
10
 x +
263
2
 + 4( x + 30)
                                             =
197
10
 x +
263
2
 + 4 x + 4 × 30
                                             =
197
10
 x +
263
2
 + 4 x + 120
                                             =
237
10
 x +
503
2
    The equation is transformed into :
     
237
10
 x +
503
2
 = 1017

    Transposition :
     
237
10
 x = 1017 −
503
2

    Combine the items on the right of the equation:
     
237
10
 x =
1531
2

    The coefficient of the unknown number is reduced to 1 :
      x =
1531
2
 ÷
237
10
        =
1531
2
 ×
10
237
        = 1531 ×
5
237

    We obtained :
      x =
7655
237
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 32.299578



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