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 ((24+x):3)-((4x+8):3) = 0 .
    Question type: Equation
    Solution:Original question:
     ((24 + x ) ÷ 3)((4 x + 8) ÷ 3) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = (24 + x ) ÷ 3((4 x + 8) ÷ 3)
                                             = 24 ×
1
3
+ x ×
1
3
((4 x + 8) ÷ 3)
                                             = 8 + x ×
1
3
((4 x + 8) ÷ 3)
                                             = 8 +
1
3
x (4 x + 8) ÷ 3
                                             = 8 +
1
3
x 4 x ×
1
3
8 ×
1
3
                                             = 8 +
1
3
x
4
3
x
8
3
                                             =
16
3
1 x
    The equation is transformed into :
     
16
3
1 x = 0

    Transposition :
      - 1 x = 0
16
3
    i.e.
      - x = 0
16
3

    Combine the items on the right of the equation:
      - x = -
16
3

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
16
3
= 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 :
      x =
16
3
    This is the solution of the equation.
    This is the solution of the equation.



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