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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 (8x+4)/5 = (11x+1)/7+1 .
    Question type: Equation
    Solution:Original question:
     (8 x + 4) ÷ 5 = (11 x + 1) ÷ 7 + 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 8 x ×
1
5
+ 4 ×
1
5
                                             =
8
5
x +
4
5
    The equation is transformed into :
     
8
5
x +
4
5
= (11 x + 1) ÷ 7 + 1
    Remove the bracket on the right of the equation:
     Right side of the equation = 11 x ×
1
7
+ 1 ×
1
7
+ 1
                                               =
11
7
x +
1
7
+ 1
                                               =
11
7
x +
8
7
    The equation is transformed into :
     
8
5
x +
4
5
=
11
7
x +
8
7

    Transposition :
     
8
5
x
11
7
x =
8
7
4
5

    Combine the items on the left of the equation:
     
1
35
x =
8
7
4
5

    Combine the items on the right of the equation:
     
1
35
x =
12
35

    The coefficient of the unknown number is reduced to 1 :
      x =
12
35
÷
1
35
        =
12
35
× 35
        = 12 × 1

    We obtained :
      x = 12
    This is the solution of the equation.



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