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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 1+(x+3)/2 = (1-2x)/7 .
    Question type: Equation
    Solution:Original question:
     1 + ( x + 3) ÷ 2 = (12 x ) ÷ 7
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 + x ×
1
2
+ 3 ×
1
2
                                             = 1 + x ×
1
2
+
3
2
                                             =
5
2
+
1
2
x
    The equation is transformed into :
     
5
2
+
1
2
x = (12 x ) ÷ 7
    Remove the bracket on the right of the equation:
     Right side of the equation = 1 ×
1
7
2 x ×
1
7
                                               =
1
7
2
7
x
    The equation is transformed into :
     
5
2
+
1
2
x =
1
7
2
7
x

    Transposition :
     
1
2
x +
2
7
x =
1
7
5
2

    Combine the items on the left of the equation:
     
11
14
x =
1
7
5
2

    Combine the items on the right of the equation:
     
11
14
x = -
33
14

    The coefficient of the unknown number is reduced to 1 :
      x = -
33
14
÷
11
14
        = -
33
14
×
14
11
        = - 3 × 1

    We obtained :
      x = - 3
    This is the solution of the equation.



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