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    Work: Find the solution of equation x/2-2x-1/31 = 0 .
    Question type: Equation
    Solution:Original question:

x

÷

2

−

2

x

−

1

÷

31

=

0

Left side of the equation =

x

×

1 2

−

2

x

−

1 31

=

-

3 2

x

−

1 31

    The equation is transformed into :

-

3 2

x

−

1 31

=

0

    Transposition :

-

3 2

x

=

0

+

1 31

    Combine the items on the right of the equation:

-

3 2

x

=

1 31

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

-

1 31

=

3 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 :

3 2

x

=

-

1 31

    The coefficient of the unknown number is reduced to 1 :

x

=

-

1 31

÷

3 2

=

-

1 31

×

2 3

    We obtained :

x

=

-

2 93

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 0.021505

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