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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 (265+247)/31*x+241.5/31*(x+15)+124/31(x+30) = 1623 .
    Question type: Equation
    Solution:Original question:
     (265 + 247) ÷ 31 × x +
483
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1623
     Left side of the equation = (265 + 247) ×
1
31
x +
483
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (265 + 247) ×
1
31
x +
483
62
( x + 15) + 4( x + 30) = 1623
    Remove the bracket on the left of the equation:
     Left side of the equation = 265 ×
1
31
x + 247 ×
1
31
x +
483
62
( x + 15) + 4( x + 30)
                                             =
265
31
x +
247
31
x +
483
62
( x + 15) + 4( x + 30)
                                             =
512
31
x +
483
62
( x + 15) + 4( x + 30)
                                             =
512
31
x +
483
62
x +
483
62
× 15 + 4( x + 30)
                                             =
512
31
x +
483
62
x +
7245
62
+ 4( x + 30)
                                             =
1507
62
x +
7245
62
+ 4( x + 30)
                                             =
1507
62
x +
7245
62
+ 4 x + 4 × 30
                                             =
1507
62
x +
7245
62
+ 4 x + 120
                                             =
1755
62
x +
14685
62
    The equation is transformed into :
     
1755
62
x +
14685
62
= 1623

    Transposition :
     
1755
62
x = 1623
14685
62

    Combine the items on the right of the equation:
     
1755
62
x =
85941
62

    The coefficient of the unknown number is reduced to 1 :
      x =
85941
62
÷
1755
62
        =
85941
62
×
62
1755
        = 3183 ×
1
65

    We obtained :
      x =
3183
65
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 48.969231



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