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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 (2x-1)/3-(x+5)/6 = 2x+1 .
    Question type: Equation
    Solution:Original question:
     (2 x 1) ÷ 3( x + 5) ÷ 6 = 2 x + 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 x ×
1
3
1 ×
1
3
( x + 5) ×
1
6
                                             =
2
3
x
1
3
( x + 5) ×
1
6
                                             =
2
3
x
1
3
x ×
1
6
5 ×
1
6
                                             =
2
3
x
1
3
x ×
1
6
5
6
                                             =
1
2
x
7
6
    The equation is transformed into :
     
1
2
x
7
6
= 2 x + 1

    Transposition :
     
1
2
x 2 x = 1 +
7
6

    Combine the items on the left of the equation:
      -
3
2
x = 1 +
7
6

    Combine the items on the right of the equation:
      -
3
2
x =
13
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
13
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 = -
13
6

    The coefficient of the unknown number is reduced to 1 :
      x = -
13
6
÷
3
2
        = -
13
6
×
2
3
        = -
13
3
×
1
3

    We obtained :
      x = -
13
9
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 1.444444



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