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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+232)/31*x+269.5/31*(x+15)+124/31(x+30) = 1370 .
    Question type: Equation
    Solution:Original question:
     (155 + 232) ÷ 31 × x +
539
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1370
     Left side of the equation = (155 + 232) ×
1
31
x +
539
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (155 + 232) ×
1
31
x +
539
62
( x + 15) + 4( x + 30) = 1370
    Remove the bracket on the left of the equation:
     Left side of the equation = 155 ×
1
31
x + 232 ×
1
31
x +
539
62
( x + 15) + 4( x + 30)
                                             = 5 x +
232
31
x +
539
62
( x + 15) + 4( x + 30)
                                             =
387
31
x +
539
62
( x + 15) + 4( x + 30)
                                             =
387
31
x +
539
62
x +
539
62
× 15 + 4( x + 30)
                                             =
387
31
x +
539
62
x +
8085
62
+ 4( x + 30)
                                             =
1313
62
x +
8085
62
+ 4( x + 30)
                                             =
1313
62
x +
8085
62
+ 4 x + 4 × 30
                                             =
1313
62
x +
8085
62
+ 4 x + 120
                                             =
1561
62
x +
15525
62
    The equation is transformed into :
     
1561
62
x +
15525
62
= 1370

    Transposition :
     
1561
62
x = 1370
15525
62

    Combine the items on the right of the equation:
     
1561
62
x =
69415
62

    The coefficient of the unknown number is reduced to 1 :
      x =
69415
62
÷
1561
62
        =
69415
62
×
62
1561
        = 69415 ×
1
1561

    We obtained :
      x =
69415
1561
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 44.46829



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