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    Work: Find the solution of equation 20% = 0.1833/(1.2222+0.0917-x/2) .
    Question type: Equation
    Solution:Original question:

20 100

=

1833 10000

÷

(

6111 5000

+

917 10000

−

x

÷

2

)

Multiply both sides of the equation by:

(

6111 5000

+

917 10000

−

x

÷

2

)

20 100

(

6111 5000

+

917 10000

−

x

÷

2

)

=

1833 10000

    Remove a bracket on the left of the equation:：

20 100

×

6111 5000

+

20 100

×

917 10000

−

20 100

x

÷

2

=

1833 10000

    The equation is reduced to :

6111 25000

+

917 50000

−

1 10

x

=

1833 10000

    The equation is reduced to :

13139 50000

−

1 10

x

=

1833 10000

    Transposition :

-

1 10

x

=

1833 10000

−

13139 50000

    Combine the items on the right of the equation:

-

1 10

x

=

-

1987 25000

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

1987 25000

=

1 10

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 10

x

=

1987 25000

    The coefficient of the unknown number is reduced to 1 :

x

=

1987 25000

÷

1 10

=

1987 25000

×

10

=

1987 2500

×

1

    We obtained :

x

=

1987 2500

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

0.7948

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