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    Work: Find the solution of equation (4x-30)/(x-10) = (4x+30)/x .
    Question type: Equation
    Solution:Original question:

(

4

x

−

30

)

÷

(

x

−

10

)

=

(

4

x

+

30

)

÷

x

Multiply both sides of the equation by:

(

x

−

10

)

,

x

(

4

x

−

30

)

x

=

(

4

x

+

30

)

(

x

−

10

)

    Remove a bracket on the left of the equation:：

4

x

x

−

30

x

=

(

4

x

+

30

)

(

x

−

10

)

    Remove a bracket on the right of the equation:：

4

x

x

−

30

x

=

4

x

(

x

−

10

)

+

30

(

x

−

10

)

    Remove a bracket on the right of the equation:：

4

x

x

−

30

x

=

4

x

x

−

4

x

×

10

+

30

(

x

−

10

)

    The equation is reduced to :

4

x

x

−

30

x

=

4

x

x

−

40

x

+

30

(

x

−

10

)

    Remove a bracket on the right of the equation:：

4

x

x

−

30

x

=

4

x

x

−

40

x

+

30

x

−

30

×

10

    The equation is reduced to :

4

x

x

−

30

x

=

4

x

x

−

40

x

+

30

x

−

300

    The equation is reduced to :

4

x

x

−

30

x

=

4

x

x

−

10

x

−

300

    
        x₁=15    
    There are 1 solution(s).

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