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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+4.5 = 6.3+0.5x .
    Question type: Equation
    Solution:Original question:
     
7
10
x +
9
2
=
63
10
+
1
2
x

    Transposition :
     
7
10
x
1
2
x =
63
10
9
2

    Combine the items on the left of the equation:
     
1
5
x =
63
10
9
2

    Combine the items on the right of the equation:
     
1
5
x =
9
5

    The coefficient of the unknown number is reduced to 1 :
      x =
9
5
÷
1
5
        =
9
5
× 5
        = 9 × 1

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

[ 2/6 Equation]
    Work: Find the solution of equation 0.9x+0.5x+2.9 = 5.7 .
    Question type: Equation
    Solution:Original question:
     
9
10
x +
1
2
x +
29
10
=
57
10
     Left side of the equation =
7
5
x +
29
10
    The equation is transformed into :
     
7
5
x +
29
10
=
57
10

    Transposition :
     
7
5
x =
57
10
29
10

    Combine the items on the right of the equation:
     
7
5
x =
14
5

    The coefficient of the unknown number is reduced to 1 :
      x =
14
5
÷
7
5
        =
14
5
×
5
7
        = 2 × 1

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

[ 3/6 Equation]
    Work: Find the solution of equation 0.8x+0.5x+3.2 = 8.4 .
    Question type: Equation
    Solution:Original question:
     
4
5
x +
1
2
x +
16
5
=
42
5
     Left side of the equation =
13
10
x +
16
5
    The equation is transformed into :
     
13
10
x +
16
5
=
42
5

    Transposition :
     
13
10
x =
42
5
16
5

    Combine the items on the right of the equation:
     
13
10
x =
26
5

    The coefficient of the unknown number is reduced to 1 :
      x =
26
5
÷
13
10
        =
26
5
×
10
13
        = 2 × 2

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

[ 4/6 Equation]
    Work: Find the solution of equation 4(x+0.4) = 3.6 .
    Question type: Equation
    Solution:Original question:
     4( x +
2
5
) =
18
5
    Remove the bracket on the left of the equation:
     Left side of the equation = 4 x + 4 ×
2
5
                                             = 4 x +
8
5
    The equation is transformed into :
     4 x +
8
5
=
18
5

    Transposition :
     4 x =
18
5
8
5

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

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

    We obtained :
      x =
1
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.5

[ 5/6 Equation]
    Work: Find the solution of equation 0.5x+0.9x+1.1 = 6.7 .
    Question type: Equation
    Solution:Original question:
     
1
2
x +
9
10
x +
11
10
=
67
10
     Left side of the equation =
7
5
x +
11
10
    The equation is transformed into :
     
7
5
x +
11
10
=
67
10

    Transposition :
     
7
5
x =
67
10
11
10

    Combine the items on the right of the equation:
     
7
5
x =
28
5

    The coefficient of the unknown number is reduced to 1 :
      x =
28
5
÷
7
5
        =
28
5
×
5
7
        = 4 × 1

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

[ 6/6 Equation]
    Work: Find the solution of equation 0.5x-3.7 = 2.3+0.1x .
    Question type: Equation
    Solution:Original question:
     
1
2
x
37
10
=
23
10
+
1
10
x

    Transposition :
     
1
2
x
1
10
x =
23
10
+
37
10

    Combine the items on the left of the equation:
     
2
5
x =
23
10
+
37
10

    Combine the items on the right of the equation:
     
2
5
x = 6

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

    We obtained :
      x = 15
    This is the solution of the equation.



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