Mathematics
         
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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 (1/40+1/60)*27-x/40 = 1 .
    Question type: Equation
    Solution:Original question:
     (1 ÷ 40 + 1 ÷ 60) × 27 x ÷ 40 = 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 ÷ 40 × 27 + 1 ÷ 60 × 27
1
40
x
                                             =
27
40
+
9
20
1
40
x
                                             =
9
8
1
40
x
    The equation is transformed into :
     
9
8
1
40
x = 1

    Transposition :
      -
1
40
x = 1
9
8

    Combine the items on the right of the equation:
      -
1
40
x = -
1
8

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1
8
=
1
40
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1
40
x =
1
8

    The coefficient of the unknown number is reduced to 1 :
      x =
1
8
÷
1
40
        =
1
8
× 40
        = 1 × 5

    We obtained :
      x = 5
    This is the solution of the equation.



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