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    Work: Find the solution of equation 1－(x－1)／3 = x .
    Question type: Equation
    Solution:Original question:

1

−

(

x

−

1

)

÷

3

=

x

    Remove the bracket on the left of the equation:

Left side of the equation =

1

−

x

×

1 3

+

1

×

1 3

=

1

−

x

×

1 3

+

1 3

=

4 3

−

1 3

x

    The equation is transformed into :

4 3

−

1 3

x

=

x

    Transposition :

-

1 3

x

−

x

=

-

4 3

    Combine the items on the left of the equation:

-

4 3

x

=

-

4 3

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

4 3

=

4 3

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 :

4 3

x

=

4 3

    The coefficient of the unknown number is reduced to 1 :

x

=

4 3

÷

4 3

=

4 3

×

3 4

=

1

×

1

    We obtained :

x

=

1

    This is the solution of the equation.

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