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    Work: Find the solution of equation 22.66 = X+X*1.5%+(X+X*1.5%)*9% .
    Question type: Equation
    Solution:Original question:

1133 50

=

X

+

X

×

3 200

+

(

X

+

X

×

3 200

)

×

9 100

Right side of the equation =

203 200

X

+

(

X

+

X

×

3 200

)

×

9 100

    The equation is transformed into :

1133 50

=

203 200

X

+

(

X

+

X

×

3 200

)

×

9 100

    Remove the bracket on the right of the equation:

Right side of the equation =

203 200

X

+

X

×

9 100

+

X

×

3 200

×

9 100

=

203 200

X

+

X

×

9 100

+

X

×

27 20000

=

22127 20000

X

    The equation is transformed into :

1133 50

=

22127 20000

X

    Transposition :

-

22127 20000

X

=

-

1133 50

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

1133 50

=

22127 20000

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 :

22127 20000

X

=

1133 50

    The coefficient of the unknown number is reduced to 1 :

X

=

1133 50

÷

22127 20000

=

1133 50

×

20000 22127

=

1133

×

400 22127

    We obtained :

X

=

453200 22127

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

20.481764

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