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    Work: Find the solution of equation 7/12*x+12 = 3/5(x+12) .
    Question type: Equation
    Solution:Original question:

7

÷

12

×

x

+

12

=

3

÷

5

×

(

x

+

12

)

Left side of the equation =

7 12

x

+

12

    The equation is transformed into :

7 12

x

+

12

=

3

÷

5

×

(

x

+

12

)

Right side of the equation =

3 5

(

x

+

12

)

    The equation is transformed into :

7 12

x

+

12

=

3 5

(

x

+

12

)

    Remove the bracket on the right of the equation:

Right side of the equation =

3 5

x

+

3 5

×

12

=

3 5

x

+

36 5

    The equation is transformed into :

7 12

x

+

12

=

3 5

x

+

36 5

    Transposition :

7 12

x

−

3 5

x

=

36 5

−

12

    Combine the items on the left of the equation:

-

1 60

x

=

36 5

−

12

    Combine the items on the right of the equation:

-

1 60

x

=

-

24 5

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

24 5

=

1 60

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 :

1 60

x

=

24 5

    The coefficient of the unknown number is reduced to 1 :

x

=

24 5

÷

1 60

=

24 5

×

60

=

24

×

12

    We obtained :

x

=

288

    This is the solution of the equation.

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