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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+3.1 = 8.7+0.4x .
    Question type: Equation
    Solution:Original question:
     
4
5
x +
31
10
=
87
10
+
2
5
x

    Transposition :
     
4
5
x
2
5
x =
87
10
31
10

    Combine the items on the left of the equation:
     
2
5
x =
87
10
31
10

    Combine the items on the right of the equation:
     
2
5
x =
28
5

    The coefficient of the unknown number is reduced to 1 :
      x =
28
5
÷
2
5
        =
28
5
×
5
2
        = 14 × 1

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

[ 2/6 Equation]
    Work: Find the solution of equation 0.9x+2.3 = 7.3+0.4x .
    Question type: Equation
    Solution:Original question:
     
9
10
x +
23
10
=
73
10
+
2
5
x

    Transposition :
     
9
10
x
2
5
x =
73
10
23
10

    Combine the items on the left of the equation:
     
1
2
x =
73
10
23
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.

[ 3/6 Equation]
    Work: Find the solution of equation 3(x+2.1) = 10.5 .
    Question type: Equation
    Solution:Original question:
     3( x +
21
10
) =
21
2
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 x + 3 ×
21
10
                                             = 3 x +
63
10
    The equation is transformed into :
     3 x +
63
10
=
21
2

    Transposition :
     3 x =
21
2
63
10

    Combine the items on the right of the equation:
     3 x =
21
5

    The coefficient of the unknown number is reduced to 1 :
      x =
21
5
÷ 3
        =
21
5
×
1
3
        =
7
5
× 1

    We obtained :
      x =
7
5
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.4

[ 4/6 Equation]
    Work: Find the solution of equation 0.4x+0.1x+1.9 = 4.9 .
    Question type: Equation
    Solution:Original question:
     
2
5
x +
1
10
x +
19
10
=
49
10
     Left side of the equation =
1
2
x +
19
10
    The equation is transformed into :
     
1
2
x +
19
10
=
49
10

    Transposition :
     
1
2
x =
49
10
19
10

    Combine the items on the right of the equation:
     
1
2
x = 3

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

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

[ 5/6 Equation]
    Work: Find the solution of equation 0.8x-3.9 = 1.3+0.4x .
    Question type: Equation
    Solution:Original question:
     
4
5
x
39
10
=
13
10
+
2
5
x

    Transposition :
     
4
5
x
2
5
x =
13
10
+
39
10

    Combine the items on the left of the equation:
     
2
5
x =
13
10
+
39
10

    Combine the items on the right of the equation:
     
2
5
x =
26
5

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

    We obtained :
      x = 13
    This is the solution of the equation.

[ 6/6 Equation]
    Work: Find the solution of equation (x-0.5)÷0.2 = 10 .
    Question type: Equation
    Solution:Original question:
     ( x
1
2
) ÷
1
5
= 10
    Remove the bracket on the left of the equation:
     Left side of the equation = x × 5
1
2
× 5
                                             = x × 5
5
2
    The equation is transformed into :
     5 x
5
2
= 10

    Transposition :
     5 x = 10 +
5
2

    Combine the items on the right of the equation:
     5 x =
25
2

    The coefficient of the unknown number is reduced to 1 :
      x =
25
2
÷ 5
        =
25
2
×
1
5
        =
5
2
× 1

    We obtained :
      x =
5
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2.5



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