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    Work: Find the solution of equation 9442.2X = 24*(599.6X-1568.1) .
    Question type: Equation
    Solution:Original question:

47211 5

X

=

24

(

2998 5

X

−

15681 10

)

    Remove the bracket on the right of the equation:

Right side of the equation =

24

×

2998 5

X

−

24

×

15681 10

=

71952 5

X

−

188172 5

    The equation is transformed into :

47211 5

X

=

71952 5

X

−

188172 5

    Transposition :

47211 5

X

−

71952 5

X

=

-

188172 5

    Combine the items on the left of the equation:

-

24741 5

X

=

-

188172 5

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

188172 5

=

24741 5

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 :

24741 5

X

=

188172 5

    The coefficient of the unknown number is reduced to 1 :

X

=

188172 5

÷

24741 5

=

188172 5

×

5 24741

=

20908

×

1 2749

    We obtained :

X

=

20908 2749

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

7.605675

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