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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 0.8x+0.3x-2.2 = 4.4 .
    Question type: Equation
    Solution:Original question:
     
4
5
x +
3
10
x
11
5
=
22
5
     Left side of the equation =
11
10
x
11
5
    The equation is transformed into :
     
11
10
x
11
5
=
22
5

    Transposition :
     
11
10
x =
22
5
+
11
5

    Combine the items on the right of the equation:
     
11
10
x =
33
5

    The coefficient of the unknown number is reduced to 1 :
      x =
33
5
÷
11
10
        =
33
5
×
10
11
        = 3 × 2

    We obtained :
      x = 6
    This is the solution of the equation.

[ 2/6 Equation]
    Work: Find the solution of equation 0.3x+0.4x+2.8 = 9.1 .
    Question type: Equation
    Solution:Original question:
     
3
10
x +
2
5
x +
14
5
=
91
10
     Left side of the equation =
7
10
x +
14
5
    The equation is transformed into :
     
7
10
x +
14
5
=
91
10

    Transposition :
     
7
10
x =
91
10
14
5

    Combine the items on the right of the equation:
     
7
10
x =
63
10

    The coefficient of the unknown number is reduced to 1 :
      x =
63
10
÷
7
10
        =
63
10
×
10
7
        = 9 × 1

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

[ 3/6 Equation]
    Work: Find the solution of equation 0.5x+3.9 = 4.7+0.4x .
    Question type: Equation
    Solution:Original question:
     
1
2
x +
39
10
=
47
10
+
2
5
x

    Transposition :
     
1
2
x
2
5
x =
47
10
39
10

    Combine the items on the left of the equation:
     
1
10
x =
47
10
39
10

    Combine the items on the right of the equation:
     
1
10
x =
4
5

    The coefficient of the unknown number is reduced to 1 :
      x =
4
5
÷
1
10
        =
4
5
× 10
        = 4 × 2

    We obtained :
      x = 8
    This is the solution of the equation.

[ 4/6 Equation]
    Work: Find the solution of equation 0.4x+0.8x-1.5 = 10.5 .
    Question type: Equation
    Solution:Original question:
     
2
5
x +
4
5
x
3
2
=
21
2
     Left side of the equation =
6
5
x
3
2
    The equation is transformed into :
     
6
5
x
3
2
=
21
2

    Transposition :
     
6
5
x =
21
2
+
3
2

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

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

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

[ 5/6 Equation]
    Work: Find the solution of equation 0.6x+3.1 = 5.1+0.1x .
    Question type: Equation
    Solution:Original question:
     
3
5
x +
31
10
=
51
10
+
1
10
x

    Transposition :
     
3
5
x
1
10
x =
51
10
31
10

    Combine the items on the left of the equation:
     
1
2
x =
51
10
31
10

    Combine the items on the right of the equation:
     
1
2
x = 2

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

    We obtained :
      x = 4
    This is the solution of the equation.

[ 6/6 Equation]
    Work: Find the solution of equation 7(1.2-x) = 2.1 .
    Question type: Equation
    Solution:Original question:
     7(
6
5
x ) =
21
10
    Remove the bracket on the left of the equation:
     Left side of the equation = 7 ×
6
5
7 x
                                             =
42
5
7 x
    The equation is transformed into :
     
42
5
7 x =
21
10

    Transposition :
      - 7 x =
21
10
42
5

    Combine the items on the right of the equation:
      - 7 x = -
63
10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
63
10
= 7 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 :
     7 x =
63
10

    The coefficient of the unknown number is reduced to 1 :
      x =
63
10
÷ 7
        =
63
10
×
1
7
        =
9
10
× 1

    We obtained :
      x =
9
10
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.9



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