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 -1.5x+4.5 = 2/3x-1/3 .
    Question type: Equation
    Solution:Original question:
      -
3
2
x +
9
2
= 2 ÷ 3 × x 1 ÷ 3
     Right side of the equation =
2
3
x
1
3
    The equation is transformed into :
      -
3
2
x +
9
2
=
2
3
x
1
3

    Transposition :
      -
3
2
x
2
3
x = -
1
3
9
2

    Combine the items on the left of the equation:
      -
13
6
x = -
1
3
9
2

    Combine the items on the right of the equation:
      -
13
6
x = -
29
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
29
6
=
13
6
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 :
     
13
6
x =
29
6

    The coefficient of the unknown number is reduced to 1 :
      x =
29
6
÷
13
6
        =
29
6
×
6
13
        = 29 ×
1
13

    We obtained :
      x =
29
13
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2.230769



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