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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 2*(X-4)+8 = 2*1.03*(X-4)+(1/3*x+8/3)*0.58 .
    Question type: Equation
    Solution:Original question:
     2( X − 4) + 8 = 2 ×
103
100
( X − 4) + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 X − 2 × 4 + 8
                                             = 2 X − 8 + 8
                                             = 2 X − 0
    The equation is transformed into :
     2 X − 0 = 2 ×
103
100
( X − 4) + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
     Right side of the equation =
103
50
( X − 4) + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
    The equation is transformed into :
     2 X − 0 =
103
50
( X − 4) + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
    Remove the bracket on the right of the equation:
     Right side of the equation =
103
50
 X −
103
50
 × 4 + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
                                               =
103
50
 X −
206
25
 + (1 ÷ 3 × X + 8 ÷ 3) ×
29
50
                                               =
103
50
 X −
206
25
 + 1 ÷ 3 × X ×
29
50
 + 8 ÷ 3 ×
29
50
                                               =
103
50
 X −
206
25
 +
29
150
 X +
116
75
                                               =
169
75
 X −
502
75
    The equation is transformed into :
     2 X =
169
75
 X −
502
75

    Transposition :
     2 X −
169
75
 X = -
502
75

    Combine the items on the left of the equation:
      -
19
75
 X = -
502
75

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
502
75
 =
19
75
 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
19
75
 X =
502
75

    The coefficient of the unknown number is reduced to 1 :
      X =
502
75
 ÷
19
75
        =
502
75
 ×
75
19
        = 502 ×
1
19

    We obtained :
      X =
502
19
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 26.421053



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