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 1/2x = 2x-1/6 .
    Question type: Equation
    Solution:Original question:
     1 ÷ 2 × x = 2 x 1 ÷ 6
     Left side of the equation =
1
2
x
    The equation is transformed into :
     
1
2
x = 2 x 1 ÷ 6
     Right side of the equation = 2 x
1
6
    The equation is transformed into :
     
1
2
x = 2 x
1
6

    Transposition :
     
1
2
x 2 x = -
1
6

    Combine the items on the left of the equation:
      -
3
2
x = -
1
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1
6
=
3
2
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 :
     
3
2
x =
1
6

    The coefficient of the unknown number is reduced to 1 :
      x =
1
6
÷
3
2
        =
1
6
×
2
3
        =
1
3
×
1
3

    We obtained :
      x =
1
9
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.111111



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