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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 (166.5+273.5)/31*x+217/31*(x+15)+93/31(x+30) = 1312 .
    Question type: Equation
    Solution:Original question:
     (
333
2
 +
547
2
) ÷ 31 × x + 217 ÷ 31 × ( x + 15) + 93 ÷ 31 × ( x + 30) = 1312
     Left side of the equation = (
333
2
 +
547
2
) ×
1
31
 x + 7( x + 15) + 3( x + 30)
    The equation is transformed into :
     (
333
2
 +
547
2
) ×
1
31
 x + 7( x + 15) + 3( x + 30) = 1312
    Remove the bracket on the left of the equation:
     Left side of the equation =
333
2
 ×
1
31
 x +
547
2
 ×
1
31
 x + 7( x + 15) + 3( x + 30)
                                             =
333
62
 x +
547
62
 x + 7( x + 15) + 3( x + 30)
                                             =
440
31
 x + 7( x + 15) + 3( x + 30)
                                             =
440
31
 x + 7 x + 7 × 15 + 3( x + 30)
                                             =
440
31
 x + 7 x + 105 + 3( x + 30)
                                             =
657
31
 x + 105 + 3( x + 30)
                                             =
657
31
 x + 105 + 3 x + 3 × 30
                                             =
657
31
 x + 105 + 3 x + 90
                                             =
750
31
 x + 195
    The equation is transformed into :
     
750
31
 x + 195 = 1312

    Transposition :
     
750
31
 x = 1312 − 195

    Combine the items on the right of the equation:
     
750
31
 x = 1117

    The coefficient of the unknown number is reduced to 1 :
      x = 1117 ÷
750
31
        = 1117 ×
31
750

    We obtained :
      x =
34627
750
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 46.169333



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