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    Work: Find the solution of equation 2(15+4x)-2(12+4x)+6(23+8x) = 24 .
    Question type: Equation
    Solution:Original question:

2

(

15

+

4

x

)

−

2

(

12

+

4

x

)

+

6

(

23

+

8

x

)

=

24

    Remove the bracket on the left of the equation:

Left side of the equation =

2

×

15

+

2

×

4

x

−

2

(

12

+

4

x

)

+

6

(

23

+

8

x

)

=

30

+

8

x

−

2

(

12

+

4

x

)

+

6

(

23

+

8

x

)

=

30

+

8

x

−

2

×

12

−

2

×

4

x

+

6

(

23

+

8

x

)

=

30

+

8

x

−

24

−

8

x

+

6

(

23

+

8

x

)

=

6

+

0

x

+

6

(

23

+

8

x

)

=

6

+

0

x

+

6

×

23

+

6

×

8

x

=

6

+

0

x

+

138

+

48

x

=

144

+

48

x

    The equation is transformed into :

144

+

48

x

=

24

    Transposition :

48

x

=

24

−

144

    Combine the items on the right of the equation:

48

x

=

-

120

    The coefficient of the unknown number is reduced to 1 :

x

=

-

120

÷

48

=

-

120

×

1 48

=

-

5

×

1 2

    We obtained :

x

=

-

5 2

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 2.5

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