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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: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-0.6)/0.4+x = (0.1x+1)/0.3 .
    Question type: Equation
    Solution:Original question:
     ( x
3
5
) ÷
2
5
+ x = (
1
10
x + 1) ÷
3
10
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
5
2
3
5
×
5
2
+ x
                                             = x ×
5
2
3
2
+ x
                                             =
7
2
x
3
2
    The equation is transformed into :
     
7
2
x
3
2
= (
1
10
x + 1) ÷
3
10
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
10
x ×
10
3
+ 1 ×
10
3
                                               =
1
3
x +
10
3
    The equation is transformed into :
     
7
2
x
3
2
=
1
3
x +
10
3

    Transposition :
     
7
2
x
1
3
x =
10
3
+
3
2

    Combine the items on the left of the equation:
     
19
6
x =
10
3
+
3
2

    Combine the items on the right of the equation:
     
19
6
x =
29
6

    The coefficient of the unknown number is reduced to 1 :
      x =
29
6
÷
19
6
        =
29
6
×
6
19
        = 29 ×
1
19

    We obtained :
      x =
29
19
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.526316



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