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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 (186+270)/31*x+248/31*(x+15)+109/31(x+30) = 1372 .
    Question type: Equation
    Solution:Original question:
     (186 + 270) ÷ 31 × x + 248 ÷ 31 × ( x + 15) + 109 ÷ 31 × ( x + 30) = 1372
     Left side of the equation = (186 + 270) ×
1
31
 x + 8( x + 15) +
109
31
( x + 30)
    The equation is transformed into :
     (186 + 270) ×
1
31
 x + 8( x + 15) +
109
31
( x + 30) = 1372
    Remove the bracket on the left of the equation:
     Left side of the equation = 186 ×
1
31
 x + 270 ×
1
31
 x + 8( x + 15) +
109
31
( x + 30)
                                             = 6 x +
270
31
 x + 8( x + 15) +
109
31
( x + 30)
                                             =
456
31
 x + 8( x + 15) +
109
31
( x + 30)
                                             =
456
31
 x + 8 x + 8 × 15 +
109
31
( x + 30)
                                             =
456
31
 x + 8 x + 120 +
109
31
( x + 30)
                                             =
704
31
 x + 120 +
109
31
( x + 30)
                                             =
704
31
 x + 120 +
109
31
 x +
109
31
 × 30
                                             =
704
31
 x + 120 +
109
31
 x +
3270
31
                                             =
813
31
 x +
6990
31
    The equation is transformed into :
     
813
31
 x +
6990
31
 = 1372

    Transposition :
     
813
31
 x = 1372 −
6990
31

    Combine the items on the right of the equation:
     
813
31
 x =
35542
31

    The coefficient of the unknown number is reduced to 1 :
      x =
35542
31
 ÷
813
31
        =
35542
31
 ×
31
813
        = 35542 ×
1
813

    We obtained :
      x =
35542
813
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 43.717097



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