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 (x-1)÷3 = (x+2)÷4 .
    Question type: Equation
    Solution:Original question:
     ( x 1) ÷ 3 = ( x + 2) ÷ 4
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
3
1 ×
1
3
                                             = x ×
1
3
1
3
    The equation is transformed into :
     
1
3
x
1
3
= ( x + 2) ÷ 4
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
4
+ 2 ×
1
4
                                               = x ×
1
4
+
1
2
    The equation is transformed into :
     
1
3
x
1
3
=
1
4
x +
1
2

    Transposition :
     
1
3
x
1
4
x =
1
2
+
1
3

    Combine the items on the left of the equation:
     
1
12
x =
1
2
+
1
3

    Combine the items on the right of the equation:
     
1
12
x =
5
6

    The coefficient of the unknown number is reduced to 1 :
      x =
5
6
÷
1
12
        =
5
6
× 12
        = 5 × 2

    We obtained :
      x = 10
    This is the solution of the equation.



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