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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+268.5)/30*x+164/30*(x+15)+120/30(x+30) = 620 .
    Question type: Equation
    Solution:Original question:
     (150 +
537
2
) ÷ 30 × x + 164 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 620
     Left side of the equation = (150 +
537
2
) ×
1
30
 x +
82
15
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (150 +
537
2
) ×
1
30
 x +
82
15
( x + 15) + 4( x + 30) = 620
    Remove the bracket on the left of the equation:
     Left side of the equation = 150 ×
1
30
 x +
537
2
 ×
1
30
 x +
82
15
( x + 15) + 4( x + 30)
                                             = 5 x +
179
20
 x +
82
15
( x + 15) + 4( x + 30)
                                             =
279
20
 x +
82
15
( x + 15) + 4( x + 30)
                                             =
279
20
 x +
82
15
 x +
82
15
 × 15 + 4( x + 30)
                                             =
279
20
 x +
82
15
 x + 82 + 4( x + 30)
                                             =
233
12
 x + 82 + 4( x + 30)
                                             =
233
12
 x + 82 + 4 x + 4 × 30
                                             =
233
12
 x + 82 + 4 x + 120
                                             =
281
12
 x + 202
    The equation is transformed into :
     
281
12
 x + 202 = 620

    Transposition :
     
281
12
 x = 620 − 202

    Combine the items on the right of the equation:
     
281
12
 x = 418

    The coefficient of the unknown number is reduced to 1 :
      x = 418 ÷
281
12
        = 418 ×
12
281

    We obtained :
      x =
5016
281
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 17.850534



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