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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 (155+318)/31*x+155/31*(x+15)+124/31(x+30) = 580 .
    Question type: Equation
    Solution:Original question:
     (155 + 318) ÷ 31 × x + 155 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 580
     Left side of the equation = (155 + 318) ×
1
31
x + 5( x + 15) + 4( x + 30)
    The equation is transformed into :
     (155 + 318) ×
1
31
x + 5( x + 15) + 4( x + 30) = 580
    Remove the bracket on the left of the equation:
     Left side of the equation = 155 ×
1
31
x + 318 ×
1
31
x + 5( x + 15) + 4( x + 30)
                                             = 5 x +
318
31
x + 5( x + 15) + 4( x + 30)
                                             =
473
31
x + 5( x + 15) + 4( x + 30)
                                             =
473
31
x + 5 x + 5 × 15 + 4( x + 30)
                                             =
473
31
x + 5 x + 75 + 4( x + 30)
                                             =
628
31
x + 75 + 4( x + 30)
                                             =
628
31
x + 75 + 4 x + 4 × 30
                                             =
628
31
x + 75 + 4 x + 120
                                             =
752
31
x + 195
    The equation is transformed into :
     
752
31
x + 195 = 580

    Transposition :
     
752
31
x = 580195

    Combine the items on the right of the equation:
     
752
31
x = 385

    The coefficient of the unknown number is reduced to 1 :
      x = 385 ÷
752
31
        = 385 ×
31
752

    We obtained :
      x =
11935
752
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 15.871011



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