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    Work: Find the solution of equation 12x+3(x+3)+2(x-1) = 7x+12 .
    Question type: Equation
    Solution:Original question:

12

x

+

3

(

x

+

3

)

+

2

(

x

−

1

)

=

7

x

+

12

    Remove the bracket on the left of the equation:

Left side of the equation =

12

x

+

3

x

+

3

×

3

+

2

(

x

−

1

)

=

12

x

+

3

x

+

9

+

2

(

x

−

1

)

=

15

x

+

9

+

2

(

x

−

1

)

=

15

x

+

9

+

2

x

−

2

×

1

=

15

x

+

9

+

2

x

−

2

=

17

x

+

7

    The equation is transformed into :

17

x

+

7

=

7

x

+

12

    Transposition :

17

x

−

7

x

=

12

−

7

    Combine the items on the left of the equation:

10

x

=

12

−

7

    Combine the items on the right of the equation:

10

x

=

5

    The coefficient of the unknown number is reduced to 1 :

x

=

5

÷

10

=

5

×

1 10

=

1

×

1 2

    We obtained :

x

=

1 2

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

0.5

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