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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 (162+195.5)/31*x+263.5/31*(x+15)+124/31(x+30) = 1664 .
    Question type: Equation
    Solution:Original question:
     (162 +
391
2
) ÷ 31 × x +
527
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1664
     Left side of the equation = (162 +
391
2
) ×
1
31
x +
17
2
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (162 +
391
2
) ×
1
31
x +
17
2
( x + 15) + 4( x + 30) = 1664
    Remove the bracket on the left of the equation:
     Left side of the equation = 162 ×
1
31
x +
391
2
×
1
31
x +
17
2
( x + 15) + 4( x + 30)
                                             =
162
31
x +
391
62
x +
17
2
( x + 15) + 4( x + 30)
                                             =
715
62
x +
17
2
( x + 15) + 4( x + 30)
                                             =
715
62
x +
17
2
x +
17
2
× 15 + 4( x + 30)
                                             =
715
62
x +
17
2
x +
255
2
+ 4( x + 30)
                                             =
621
31
x +
255
2
+ 4( x + 30)
                                             =
621
31
x +
255
2
+ 4 x + 4 × 30
                                             =
621
31
x +
255
2
+ 4 x + 120
                                             =
745
31
x +
495
2
    The equation is transformed into :
     
745
31
x +
495
2
= 1664

    Transposition :
     
745
31
x = 1664
495
2

    Combine the items on the right of the equation:
     
745
31
x =
2833
2

    The coefficient of the unknown number is reduced to 1 :
      x =
2833
2
÷
745
31
        =
2833
2
×
31
745

    We obtained :
      x =
87823
1490
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 58.941611



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