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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+0.5x-4 = 2 .
    Question type: Equation
    Solution:Original question:
     
7
10
x +
1
2
x 4 = 2
     Left side of the equation =
6
5
x 4
    The equation is transformed into :
     
6
5
x 4 = 2

    Transposition :
     
6
5
x = 2 + 4

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

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

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

[ 2/6 Equation]
    Work: Find the solution of equation 6(x-7.5) = 31.8 .
    Question type: Equation
    Solution:Original question:
     6( x
15
2
) =
159
5
    Remove the bracket on the left of the equation:
     Left side of the equation = 6 x 6 ×
15
2
                                             = 6 x 45
    The equation is transformed into :
     6 x 45 =
159
5

    Transposition :
     6 x =
159
5
+ 45

    Combine the items on the right of the equation:
     6 x =
384
5

    The coefficient of the unknown number is reduced to 1 :
      x =
384
5
÷ 6
        =
384
5
×
1
6
        =
64
5
× 1

    We obtained :
      x =
64
5
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 12.8

[ 3/6 Equation]
    Work: Find the solution of equation 0.7x+3.6 = 6.6+0.1x .
    Question type: Equation
    Solution:Original question:
     
7
10
x +
18
5
=
33
5
+
1
10
x

    Transposition :
     
7
10
x
1
10
x =
33
5
18
5

    Combine the items on the left of the equation:
     
3
5
x =
33
5
18
5

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

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

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

[ 4/6 Equation]
    Work: Find the solution of equation 0.5x+5 = 10.6+0.1x .
    Question type: Equation
    Solution:Original question:
     
1
2
x + 5 =
53
5
+
1
10
x

    Transposition :
     
1
2
x
1
10
x =
53
5
5

    Combine the items on the left of the equation:
     
2
5
x =
53
5
5

    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.

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

    Transposition :
     
4
5
x
2
5
x = 104

    Combine the items on the left of the equation:
     
2
5
x = 104

    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.

[ 6/6 Equation]
    Work: Find the solution of equation 0.8x-3.4 = 1.8+0.4x .
    Question type: Equation
    Solution:Original question:
     
4
5
x
17
5
=
9
5
+
2
5
x

    Transposition :
     
4
5
x
2
5
x =
9
5
+
17
5

    Combine the items on the left of the equation:
     
2
5
x =
9
5
+
17
5

    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.



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