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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 (180+267)/31*x+221.5/31*(x+15)+124/31(x+30) = 934 .
    Question type: Equation
    Solution:Original question:
     (180 + 267) ÷ 31 × x +
443
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 934
     Left side of the equation = (180 + 267) ×
1
31
x +
443
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (180 + 267) ×
1
31
x +
443
62
( x + 15) + 4( x + 30) = 934
    Remove the bracket on the left of the equation:
     Left side of the equation = 180 ×
1
31
x + 267 ×
1
31
x +
443
62
( x + 15) + 4( x + 30)
                                             =
180
31
x +
267
31
x +
443
62
( x + 15) + 4( x + 30)
                                             =
447
31
x +
443
62
( x + 15) + 4( x + 30)
                                             =
447
31
x +
443
62
x +
443
62
× 15 + 4( x + 30)
                                             =
447
31
x +
443
62
x +
6645
62
+ 4( x + 30)
                                             =
1337
62
x +
6645
62
+ 4( x + 30)
                                             =
1337
62
x +
6645
62
+ 4 x + 4 × 30
                                             =
1337
62
x +
6645
62
+ 4 x + 120
                                             =
1585
62
x +
14085
62
    The equation is transformed into :
     
1585
62
x +
14085
62
= 934

    Transposition :
     
1585
62
x = 934
14085
62

    Combine the items on the right of the equation:
     
1585
62
x =
43823
62

    The coefficient of the unknown number is reduced to 1 :
      x =
43823
62
÷
1585
62
        =
43823
62
×
62
1585
        = 43823 ×
1
1585

    We obtained :
      x =
43823
1585
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 27.64858



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