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    Work: Find the solution of equation 0.699+x = 370/380*(0.847+x) .
    Question type: Equation
    Solution:Original question:

699 1000

+

x

=

370

÷

380

×

(

847 1000

+

x

)

Right side of the equation =

37 38

(

847 1000

+

x

)

    The equation is transformed into :

699 1000

+

x

=

37 38

(

847 1000

+

x

)

    Remove the bracket on the right of the equation:

Right side of the equation =

37 38

×

847 1000

+

37 38

x

=

31339 38000

+

37 38

x

    The equation is transformed into :

699 1000

+

x

=

31339 38000

+

37 38

x

    Transposition :

x

−

37 38

x

=

31339 38000

−

699 1000

    Combine the items on the left of the equation:

1 38

x

=

31339 38000

−

699 1000

    Combine the items on the right of the equation:

1 38

x

=

4777 38000

    The coefficient of the unknown number is reduced to 1 :

x

=

4777 38000

÷

1 38

=

4777 38000

×

38

=

4777 1000

×

1

    We obtained :

x

=

4777 1000

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

4.777

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