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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 5/7(x+39) = 7/11x+39 .
    Question type: Equation
    Solution:Original question:
     5 ÷ 7 × ( x + 39) = 7 ÷ 11 × x + 39
     Left side of the equation =
5
7
( x + 39)
    The equation is transformed into :
     
5
7
( x + 39) = 7 ÷ 11 × x + 39
    Remove the bracket on the left of the equation:
     Left side of the equation =
5
7
x +
5
7
× 39
                                             =
5
7
x +
195
7
    The equation is transformed into :
     
5
7
x +
195
7
= 7 ÷ 11 × x + 39
     Right side of the equation =
7
11
x + 39
    The equation is transformed into :
     
5
7
x +
195
7
=
7
11
x + 39

    Transposition :
     
5
7
x
7
11
x = 39
195
7

    Combine the items on the left of the equation:
     
6
77
x = 39
195
7

    Combine the items on the right of the equation:
     
6
77
x =
78
7

    The coefficient of the unknown number is reduced to 1 :
      x =
78
7
÷
6
77
        =
78
7
×
77
6
        = 13 × 11

    We obtained :
      x = 143
    This is the solution of the equation.



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