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 (3x+1)/2 = (4x+2)/5 .
    Question type: Equation
    Solution:Original question:
     (3 x + 1) ÷ 2 = (4 x + 2) ÷ 5
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 x ×
1
2
+ 1 ×
1
2
                                             =
3
2
x +
1
2
    The equation is transformed into :
     
3
2
x +
1
2
= (4 x + 2) ÷ 5
    Remove the bracket on the right of the equation:
     Right side of the equation = 4 x ×
1
5
+ 2 ×
1
5
                                               =
4
5
x +
2
5
    The equation is transformed into :
     
3
2
x +
1
2
=
4
5
x +
2
5

    Transposition :
     
3
2
x
4
5
x =
2
5
1
2

    Combine the items on the left of the equation:
     
7
10
x =
2
5
1
2

    Combine the items on the right of the equation:
     
7
10
x = -
1
10

    The coefficient of the unknown number is reduced to 1 :
      x = -
1
10
÷
7
10
        = -
1
10
×
10
7
        = - 1 ×
1
7

    We obtained :
      x = -
1
7
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.142857



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