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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 (163+312)/31*x+177/31*(x+15)+124/31(x+30) = 1266 .
    Question type: Equation
    Solution:Original question:
     (163 + 312) ÷ 31 × x + 177 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1266
     Left side of the equation = (163 + 312) ×
1
31
 x +
177
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (163 + 312) ×
1
31
 x +
177
31
( x + 15) + 4( x + 30) = 1266
    Remove the bracket on the left of the equation:
     Left side of the equation = 163 ×
1
31
 x + 312 ×
1
31
 x +
177
31
( x + 15) + 4( x + 30)
                                             =
163
31
 x +
312
31
 x +
177
31
( x + 15) + 4( x + 30)
                                             =
475
31
 x +
177
31
( x + 15) + 4( x + 30)
                                             =
475
31
 x +
177
31
 x +
177
31
 × 15 + 4( x + 30)
                                             =
475
31
 x +
177
31
 x +
2655
31
 + 4( x + 30)
                                             =
652
31
 x +
2655
31
 + 4( x + 30)
                                             =
652
31
 x +
2655
31
 + 4 x + 4 × 30
                                             =
652
31
 x +
2655
31
 + 4 x + 120
                                             =
776
31
 x +
6375
31
    The equation is transformed into :
     
776
31
 x +
6375
31
 = 1266

    Transposition :
     
776
31
 x = 1266 −
6375
31

    Combine the items on the right of the equation:
     
776
31
 x =
32871
31

    The coefficient of the unknown number is reduced to 1 :
      x =
32871
31
 ÷
776
31
        =
32871
31
 ×
31
776
        = 32871 ×
1
776

    We obtained :
      x =
32871
776
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 42.359536



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