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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+17)/5 = 2-(2x-7)/4 .
    Question type: Equation
    Solution:Original question:
     ( x + 17) ÷ 5 = 2(2 x 7) ÷ 4
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
5
+ 17 ×
1
5
                                             = x ×
1
5
+
17
5
    The equation is transformed into :
     
1
5
x +
17
5
= 2(2 x 7) ÷ 4
    Remove the bracket on the right of the equation:
     Right side of the equation = 22 x ×
1
4
+ 7 ×
1
4
                                               = 2
1
2
x +
7
4
                                               =
15
4
1
2
x
    The equation is transformed into :
     
1
5
x +
17
5
=
15
4
1
2
x

    Transposition :
     
1
5
x +
1
2
x =
15
4
17
5

    Combine the items on the left of the equation:
     
7
10
x =
15
4
17
5

    Combine the items on the right of the equation:
     
7
10
x =
7
20

    The coefficient of the unknown number is reduced to 1 :
      x =
7
20
÷
7
10
        =
7
20
×
10
7
        =
1
2
× 1

    We obtained :
      x =
1
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.5



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