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    Work: Find the solution of equation (1-4/7x ) = (1-40%)(x+18) .
    Question type: Equation
    Solution:Original question:

(

1

−

4

÷

7

×

x

)

=

(

1

−

40 100

)

(

x

+

18

)

    Remove the bracket on the left of the equation:

Left side of the equation =

1

−

4

÷

7

×

x

=

1

−

4 7

x

    The equation is transformed into :

1

−

4 7

x

=

(

1

−

40 100

)

(

x

+

18

)

    Remove the bracket on the right of the equation:

Right side of the equation =

1

(

x

+

18

)

−

40 100

(

x

+

18

)

=

1

x

+

1

×

18

−

40 100

(

x

+

18

)

=

1

x

+

18

−

40 100

(

x

+

18

)

=

1

x

+

18

−

40 100

x

−

40 100

×

18

=

1

x

+

18

−

40 100

x

−

36 5

=

3 5

x

+

54 5

    The equation is transformed into :

1

−

4 7

x

=

3 5

x

+

54 5

    Transposition :

-

4 7

x

−

3 5

x

=

54 5

−

1

    Combine the items on the left of the equation:

-

41 35

x

=

54 5

−

1

    Combine the items on the right of the equation:

-

41 35

x

=

49 5

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

-

49 5

=

41 35

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 :

41 35

x

=

-

49 5

    The coefficient of the unknown number is reduced to 1 :

x

=

-

49 5

÷

41 35

=

-

49 5

×

35 41

=

-

49

×

7 41

    We obtained :

x

=

-

343 41

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 8.365854

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