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[ 1/1 Equation]
    Work: Find the solution of equation 6/（x-3） = （x+2）/6 .
    Question type: Equation
    Solution:Original question:

6

÷

(

x

−

3

)

=

(

x

+

2

)

÷

6

Multiply both sides of the equation by:

(

x

−

3

)

6

=

(

x

+

2

)

÷

6

×

(

x

−

3

)

    Remove a bracket on the right of the equation:：

6

=

x

÷

6

×

(

x

−

3

)

+

2

÷

6

×

(

x

−

3

)

    The equation is reduced to :

6

=

x

×

1 6

(

x

−

3

)

+

1 3

(

x

−

3

)

    Remove a bracket on the right of the equation:：

6

=

x

×

1 6

x

−

x

×

1 6

×

3

+

1 3

(

x

−

3

)

    The equation is reduced to :

6

=

x

×

1 6

x

−

x

×

1 2

+

1 3

(

x

−

3

)

    Remove a bracket on the right of the equation:：

6

=

x

×

1 6

x

−

1 2

x

+

1 3

x

−

1 3

×

3

    The equation is reduced to :

6

=

x

×

1 6

x

−

1 2

x

+

1 3

x

−

1

    The equation is reduced to :

6

=

x

×

1 6

x

−

1 6

x

−

1

    After the equation is converted into a general formula, it is converted into:
    ( x + 6 )( x - 7 )=0
    From
        x + 6 = 0
        x - 7 = 0
    it is concluded that:：
        x₁=-6
        x₂=7    
    There are 2 solution(s).

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