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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 (168+317)/31*x+211/31*(x+15)+124/31(x+30) = 1447 .
    Question type: Equation
    Solution:Original question:
     (168 + 317) ÷ 31 × x + 211 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1447
     Left side of the equation = (168 + 317) ×
1
31
x +
211
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (168 + 317) ×
1
31
x +
211
31
( x + 15) + 4( x + 30) = 1447
    Remove the bracket on the left of the equation:
     Left side of the equation = 168 ×
1
31
x + 317 ×
1
31
x +
211
31
( x + 15) + 4( x + 30)
                                             =
168
31
x +
317
31
x +
211
31
( x + 15) + 4( x + 30)
                                             =
485
31
x +
211
31
( x + 15) + 4( x + 30)
                                             =
485
31
x +
211
31
x +
211
31
× 15 + 4( x + 30)
                                             =
485
31
x +
211
31
x +
3165
31
+ 4( x + 30)
                                             =
696
31
x +
3165
31
+ 4( x + 30)
                                             =
696
31
x +
3165
31
+ 4 x + 4 × 30
                                             =
696
31
x +
3165
31
+ 4 x + 120
                                             =
820
31
x +
6885
31
    The equation is transformed into :
     
820
31
x +
6885
31
= 1447

    Transposition :
     
820
31
x = 1447
6885
31

    Combine the items on the right of the equation:
     
820
31
x =
37972
31

    The coefficient of the unknown number is reduced to 1 :
      x =
37972
31
÷
820
31
        =
37972
31
×
31
820
        = 9493 ×
1
205

    We obtained :
      x =
9493
205
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 46.307317



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