Mathematics
         
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    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 2x+1/3-10x+1/6 = 1 .
    Question type: Equation
    Solution:Original question:
     2 x + 1 ÷ 310 x + 1 ÷ 6 = 1
     Left side of the equation = 2 x +
1
3
10 x +
1
6
                                             = - 8 x +
1
2
    The equation is transformed into :
      - 8 x +
1
2
= 1

    Transposition :
      - 8 x = 1
1
2

    Combine the items on the right of the equation:
      - 8 x =
1
2

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
1
2
= 8 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 :
     8 x = -
1
2

    The coefficient of the unknown number is reduced to 1 :
      x = -
1
2
÷ 8
        = -
1
2
×
1
8

    We obtained :
      x = -
1
16
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.0625



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