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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: 6 questions will be solved this time.Among them
           ☆6 equations

[ 1/6 Equation]
    Work: Find the solution of equation ０．７x＋３ = ５．４＋０．５x .
    Question type: Equation
    Solution:Original question:
     
7
10
 x + 3 =
27
5
 +
1
2
 x

    Transposition :
     
7
10
 x −
1
2
 x =
27
5
 − 3

    Combine the items on the left of the equation:
     
1
5
 x =
27
5
 − 3

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

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

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

[ 2/6 Equation]
    Work: Find the solution of equation ０．９x＋３．５ = ３．８＋０．８x .
    Question type: Equation
    Solution:Original question:
     
9
10
 x +
7
2
 =
19
5
 +
4
5
 x

    Transposition :
     
9
10
 x −
4
5
 x =
19
5
 −
7
2

    Combine the items on the left of the equation:
     
1
10
 x =
19
5
 −
7
2

    Combine the items on the right of the equation:
     
1
10
 x =
3
10

    The coefficient of the unknown number is reduced to 1 :
      x =
3
10
 ÷
1
10
        =
3
10
 × 10
        = 3 × 1

    We obtained :
      x = 3
    This is the solution of the equation.

[ 3/6 Equation]
    Work: Find the solution of equation ０．９x－１．３ = １．４＋０．６x .
    Question type: Equation
    Solution:Original question:
     
9
10
 x −
13
10
 =
7
5
 +
3
5
 x

    Transposition :
     
9
10
 x −
3
5
 x =
7
5
 +
13
10

    Combine the items on the left of the equation:
     
3
10
 x =
7
5
 +
13
10

    Combine the items on the right of the equation:
     
3
10
 x =
27
10

    The coefficient of the unknown number is reduced to 1 :
      x =
27
10
 ÷
3
10
        =
27
10
 ×
10
3
        = 9 × 1

    We obtained :
      x = 9
    This is the solution of the equation.

[ 4/6 Equation]
    Work: Find the solution of equation ０．２x＋０．８x－１．４ = ９．６ .
    Question type: Equation
    Solution:Original question:
     
1
5
 x +
4
5
 x −
7
5
 =
48
5
     Left side of the equation = 1 x −
7
5
    The equation is transformed into :
     1 x −
7
5
 =
48
5

    Transposition :
     1 x =
48
5
 +
7
5
    i.e.
      x =
48
5
 +
7
5

    Combine the items on the right of the equation:
      x = 11
    This is the solution of the equation.
    This is the solution of the equation.

[ 5/6 Equation]
    Work: Find the solution of equation (１３１．８－x)÷４２ = ２．５ .
    Question type: Equation
    Solution:Original question:
     (
659
5
 − x ) ÷ 42 =
5
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
659
5
 ×
1
42
 − x ×
1
42
                                             =
659
210
 − x ×
1
42
    The equation is transformed into :
     
659
210
 −
1
42
 x =
5
2

    Transposition :
      -
1
42
 x =
5
2
 −
659
210

    Combine the items on the right of the equation:
      -
1
42
 x = -
67
105

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
67
105
 =
1
42
 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 :
     
1
42
 x =
67
105

    The coefficient of the unknown number is reduced to 1 :
      x =
67
105
 ÷
1
42
        =
67
105
 × 42
        =
67
5
 × 2

    We obtained :
      x =
134
5
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 26.8

[ 6/6 Equation]
    Work: Find the solution of equation ０．３x = ７－０．４x .
    Question type: Equation
    Solution:Original question:
     
3
10
 x = 7 −
2
5
 x

    Transposition :
     
3
10
 x +
2
5
 x = 7

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

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

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



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