Mathematics
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current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 6 questions will be solved this time.Among them
           ☆6 equations

[ 1/6 Equation]
    Work: Find the solution of equation 4x-8 = 15 .
    Question type: Equation
    Solution:Original question:
     4 x − 8 = 15

    Transposition :
     4 x = 15 + 8

    Combine the items on the right of the equation:
     4 x = 23

    The coefficient of the unknown number is reduced to 1 :
      x = 23 ÷ 4
        = 23 ×
1
4

    We obtained :
      x =
23
4
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5.75

[ 2/6 Equation]
    Work: Find the solution of equation 4x+3.6x = 15.2 .
    Question type: Equation
    Solution:Original question:
     4 x +
18
5
 x =
76
5
     Left side of the equation =
38
5
 x
    The equation is transformed into :
     
38
5
 x =
76
5

    The coefficient of the unknown number is reduced to 1 :
      x =
76
5
 ÷
38
5
        =
76
5
 ×
5
38
        = 2 × 1

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

[ 3/6 Equation]
    Work: Find the solution of equation 56-x = 7 .
    Question type: Equation
    Solution:Original question:
     56 − x = 7

    Transposition :
      - x = 7 − 56

    Combine the items on the right of the equation:
      - x = - 49

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     49 = 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 :
      x = 49
    This is the solution of the equation.
    This is the solution of the equation.

[ 4/6 Equation]
    Work: Find the solution of equation 14+10x = 65 .
    Question type: Equation
    Solution:Original question:
     14 + 10 x = 65

    Transposition :
     10 x = 65 − 14

    Combine the items on the right of the equation:
     10 x = 51

    The coefficient of the unknown number is reduced to 1 :
      x = 51 ÷ 10
        = 51 ×
1
10

    We obtained :
      x =
51
10
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5.1

[ 5/6 Equation]
    Work: Find the solution of equation 45-2x = 45 .
    Question type: Equation
    Solution:Original question:
     45 − 2 x = 45

    Transposition :
      - 2 x = 45 − 45

    Combine the items on the right of the equation:
      - 2 x = 0

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 0 = 2 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 :
     2 x = - 0

    The coefficient of the unknown number is reduced to 1 :
      x = - 0 ÷ 2
        = - 0 ×
1
2

    We obtained :
      x = 0
    This is the solution of the equation.

[ 6/6 Equation]
    Work: Find the solution of equation 6x-2x = 56 .
    Question type: Equation
    Solution:Original question:
     6 x − 2 x = 56
     Left side of the equation = 4 x
    The equation is transformed into :
     4 x = 56

    The coefficient of the unknown number is reduced to 1 :
      x = 56 ÷ 4
        = 56 ×
1
4
        = 14 × 1

    We obtained :
      x = 14
    This is the solution of the equation.




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