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    Work: Find the solution of equation 2x（3x-5）-（2x-3）（3x+4） = 3（x+4） .
    Question type: Equation
    Solution:Original question:

2

x

(

3

x

−

5

)

−

(

2

x

−

3

)

(

3

x

+

4

)

=

3

(

x

+

4

)

    Remove the bracket on the left of the equation:

Left side of the equation =

2

x

×

3

x

−

2

x

×

5

−

(

2

x

−

3

)

(

3

x

+

4

)

=

6

x

x

−

10

x

−

(

2

x

−

3

)

(

3

x

+

4

)

=

6

x

x

−

10

x

−

2

x

(

3

x

+

4

)

+

3

(

3

x

+

4

)

=

6

x

x

−

10

x

−

2

x

×

3

x

−

2

x

×

4

=

6

x

x

−

10

x

−

6

x

x

−

8

x

+

3

(

3

x

+

4

)

=

6

x

x

−

18

x

−

6

x

x

+

3

(

3

x

+

4

)

=

6

x

x

−

18

x

−

6

x

x

+

3

×

3

x

+

3

=

6

x

x

−

18

x

−

6

x

x

+

9

x

+

12

=

6

x

x

−

9

x

−

6

x

x

+

12

    The equation is transformed into :

6

x

x

−

9

x

−

6

x

x

+

12

=

3

(

x

+

4

)

    Remove the bracket on the right of the equation:

Right side of the equation =

3

x

+

3

×

4

=

3

x

+

12

    The equation is transformed into :

6

x

x

−

9

x

−

6

x

x

+

12

=

3

x

+

12

    the solutions is:
        x=0    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》

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