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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 (176.5+273.5)/31*x+246/31*(x+15)+124/31(x+30) = 2255 .
    Question type: Equation
    Solution:Original question:
     (
353
2
 +
547
2
) ÷ 31 × x + 246 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 2255
     Left side of the equation = (
353
2
 +
547
2
) ×
1
31
 x +
246
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
353
2
 +
547
2
) ×
1
31
 x +
246
31
( x + 15) + 4( x + 30) = 2255
    Remove the bracket on the left of the equation:
     Left side of the equation =
353
2
 ×
1
31
 x +
547
2
 ×
1
31
 x +
246
31
( x + 15) + 4( x + 30)
                                             =
353
62
 x +
547
62
 x +
246
31
( x + 15) + 4( x + 30)
                                             =
450
31
 x +
246
31
( x + 15) + 4( x + 30)
                                             =
450
31
 x +
246
31
 x +
246
31
 × 15 + 4( x + 30)
                                             =
450
31
 x +
246
31
 x +
3690
31
 + 4( x + 30)
                                             =
696
31
 x +
3690
31
 + 4( x + 30)
                                             =
696
31
 x +
3690
31
 + 4 x + 4 × 30
                                             =
696
31
 x +
3690
31
 + 4 x + 120
                                             =
820
31
 x +
7410
31
    The equation is transformed into :
     
820
31
 x +
7410
31
 = 2255

    Transposition :
     
820
31
 x = 2255 −
7410
31

    Combine the items on the right of the equation:
     
820
31
 x =
62495
31

    The coefficient of the unknown number is reduced to 1 :
      x =
62495
31
 ÷
820
31
        =
62495
31
 ×
31
820
        = 12499 ×
1
164

    We obtained :
      x =
12499
164
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 76.213415



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