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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 (2X-1)÷3 = 1-(3-2X)÷5 .
    Question type: Equation
    Solution:Original question:
     (2 X 1) ÷ 3 = 1(32 X ) ÷ 5
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 X ×
1
3
1 ×
1
3
                                             =
2
3
X
1
3
    The equation is transformed into :
     
2
3
X
1
3
= 1(32 X ) ÷ 5
    Remove the bracket on the right of the equation:
     Right side of the equation = 13 ×
1
5
+ 2 X ×
1
5
                                               = 1
3
5
+
2
5
X
                                               =
2
5
+
2
5
X
    The equation is transformed into :
     
2
3
X
1
3
=
2
5
+
2
5
X

    Transposition :
     
2
3
X
2
5
X =
2
5
+
1
3

    Combine the items on the left of the equation:
     
4
15
X =
2
5
+
1
3

    Combine the items on the right of the equation:
     
4
15
X =
11
15

    The coefficient of the unknown number is reduced to 1 :
      X =
11
15
÷
4
15
        =
11
15
×
15
4
        = 11 ×
1
4

    We obtained :
      X =
11
4
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 2.75



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