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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 (151+218.5)/31*x+279/31*(x+15)+124/31(x+30) = 2670 .
    Question type: Equation
    Solution:Original question:
     (151 +
437
2
) ÷ 31 × x + 279 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 2670
     Left side of the equation = (151 +
437
2
) ×
1
31
 x + 9( x + 15) + 4( x + 30)
    The equation is transformed into :
     (151 +
437
2
) ×
1
31
 x + 9( x + 15) + 4( x + 30) = 2670
    Remove the bracket on the left of the equation:
     Left side of the equation = 151 ×
1
31
 x +
437
2
 ×
1
31
 x + 9( x + 15) + 4( x + 30)
                                             =
151
31
 x +
437
62
 x + 9( x + 15) + 4( x + 30)
                                             =
739
62
 x + 9( x + 15) + 4( x + 30)
                                             =
739
62
 x + 9 x + 9 × 15 + 4( x + 30)
                                             =
739
62
 x + 9 x + 135 + 4( x + 30)
                                             =
1297
62
 x + 135 + 4( x + 30)
                                             =
1297
62
 x + 135 + 4 x + 4 × 30
                                             =
1297
62
 x + 135 + 4 x + 120
                                             =
1545
62
 x + 255
    The equation is transformed into :
     
1545
62
 x + 255 = 2670

    Transposition :
     
1545
62
 x = 2670 − 255

    Combine the items on the right of the equation:
     
1545
62
 x = 2415

    The coefficient of the unknown number is reduced to 1 :
      x = 2415 ÷
1545
62
        = 2415 ×
62
1545
        = 161 ×
62
103

    We obtained :
      x =
9982
103
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 96.912621



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