Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.5x+180*0.5+220*0.6+(460-x-400)*0.8 = 253.5 .
    Question type: Equation
    Solution:Original question:

1 2

x

+

180

×

1 2

+

220

×

3 5

+

(

460

−

x

−

400

)

×

4 5

=

507 2

Left side of the equation =

1 2

x

+

90

+

132

+

(

460

−

x

−

400

)

×

4 5

=

1 2

x

+

222

+

(

460

−

x

−

400

)

×

4 5

    The equation is transformed into :

1 2

x

+

222

+

(

460

−

x

−

400

)

×

4 5

=

507 2

    Remove the bracket on the left of the equation:

Left side of the equation =

1 2

x

+

222

+

460

×

4 5

−

x

×

4 5

−

400

×

4 5

=

1 2

x

+

222

+

368

−

x

×

4 5

−

320

=

-

3 10

x

+

270

    The equation is transformed into :

-

3 10

x

+

270

=

507 2

    Transposition :

-

3 10

x

=

507 2

−

270

    Combine the items on the right of the equation:

-

3 10

x

=

-

33 2

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

33 2

=

3 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 :

3 10

x

=

33 2

    The coefficient of the unknown number is reduced to 1 :

x

=

33 2

÷

3 10

=

33 2

×

10 3

=

11

×

5

    We obtained :

x

=

55

    This is the solution of the equation.

Your problem has not been solved here? Please take a look at the  hot problems ！