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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 0.6x+1.4 = 2.6+0.3x .
    Question type: Equation
    Solution:Original question:
     
3
5
x +
7
5
=
13
5
+
3
10
x

    Transposition :
     
3
5
x
3
10
x =
13
5
7
5

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

    Combine the items on the right of the equation:
     
3
10
x =
6
5

    The coefficient of the unknown number is reduced to 1 :
      x =
6
5
÷
3
10
        =
6
5
×
10
3
        = 2 × 2

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

[ 2/6 Equation]
    Work: Find the solution of equation 0.8x-4.5 = 3.9+0.2x .
    Question type: Equation
    Solution:Original question:
     
4
5
x
9
2
=
39
10
+
1
5
x

    Transposition :
     
4
5
x
1
5
x =
39
10
+
9
2

    Combine the items on the left of the equation:
     
3
5
x =
39
10
+
9
2

    Combine the items on the right of the equation:
     
3
5
x =
42
5

    The coefficient of the unknown number is reduced to 1 :
      x =
42
5
÷
3
5
        =
42
5
×
5
3
        = 14 × 1

    We obtained :
      x = 14
    This is the solution of the equation.

[ 3/6 Equation]
    Work: Find the solution of equation (x-3.5)×0.8 = 5.6 .
    Question type: Equation
    Solution:Original question:
     ( x
7
2
) ×
4
5
=
28
5
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
4
5
7
2
×
4
5
                                             = x ×
4
5
14
5
    The equation is transformed into :
     
4
5
x
14
5
=
28
5

    Transposition :
     
4
5
x =
28
5
+
14
5

    Combine the items on the right of the equation:
     
4
5
x =
42
5

    The coefficient of the unknown number is reduced to 1 :
      x =
42
5
÷
4
5
        =
42
5
×
5
4
        = 21 ×
1
2

    We obtained :
      x =
21
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 10.5

[ 4/6 Equation]
    Work: Find the solution of equation 0.5x+2.5 = 3.9+0.4x .
    Question type: Equation
    Solution:Original question:
     
1
2
x +
5
2
=
39
10
+
2
5
x

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

    Combine the items on the left of the equation:
     
1
10
x =
39
10
5
2

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

    The coefficient of the unknown number is reduced to 1 :
      x =
7
5
÷
1
10
        =
7
5
× 10
        = 7 × 2

    We obtained :
      x = 14
    This is the solution of the equation.

[ 5/6 Equation]
    Work: Find the solution of equation 0.1x+0.4x+2.7 = 7.7 .
    Question type: Equation
    Solution:Original question:
     
1
10
x +
2
5
x +
27
10
=
77
10
     Left side of the equation =
1
2
x +
27
10
    The equation is transformed into :
     
1
2
x +
27
10
=
77
10

    Transposition :
     
1
2
x =
77
10
27
10

    Combine the items on the right of the equation:
     
1
2
x = 5

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

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

[ 6/6 Equation]
    Work: Find the solution of equation 0.8x+0.1x-2.2 = 4.1 .
    Question type: Equation
    Solution:Original question:
     
4
5
x +
1
10
x
11
5
=
41
10
     Left side of the equation =
9
10
x
11
5
    The equation is transformed into :
     
9
10
x
11
5
=
41
10

    Transposition :
     
9
10
x =
41
10
+
11
5

    Combine the items on the right of the equation:
     
9
10
x =
63
10

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

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



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