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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 (182+272.5)/30*x+240/30*(x+15)+120/30*(x+30) = 2874 .
    Question type: Equation
    Solution:Original question:
     (182 +
545
2
) ÷ 30 × x + 240 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 2874
     Left side of the equation = (182 +
545
2
) ×
1
30
 x + 8( x + 15) + 4( x + 30)
    The equation is transformed into :
     (182 +
545
2
) ×
1
30
 x + 8( x + 15) + 4( x + 30) = 2874
    Remove the bracket on the left of the equation:
     Left side of the equation = 182 ×
1
30
 x +
545
2
 ×
1
30
 x + 8( x + 15) + 4( x + 30)
                                             =
91
15
 x +
109
12
 x + 8( x + 15) + 4( x + 30)
                                             =
303
20
 x + 8( x + 15) + 4( x + 30)
                                             =
303
20
 x + 8 x + 8 × 15 + 4( x + 30)
                                             =
303
20
 x + 8 x + 120 + 4( x + 30)
                                             =
463
20
 x + 120 + 4( x + 30)
                                             =
463
20
 x + 120 + 4 x + 4 × 30
                                             =
463
20
 x + 120 + 4 x + 120
                                             =
543
20
 x + 240
    The equation is transformed into :
     
543
20
 x + 240 = 2874

    Transposition :
     
543
20
 x = 2874 − 240

    Combine the items on the right of the equation:
     
543
20
 x = 2634

    The coefficient of the unknown number is reduced to 1 :
      x = 2634 ÷
543
20
        = 2634 ×
20
543
        = 878 ×
20
181

    We obtained :
      x =
17560
181
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 97.016575



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