2(x−3)=8(x−6) what is the answer take your time and get it correct

x=7

Step-by-step explanation: First to get rid of the parentheses we must multiply everything  times 2 in the parentheses. Then we must also do the same with the other parentheses multiply everything by 8.

2(x−3)=8(x−6)

2x-6=8x-48

Then we subtract 8x from both sides.

2x-6=8x-48

-6x-6=-48

Then add 6 to both sides

-6x-6=-48

-6x=-42

Finally divide both sides -6

-6x/-6=-42/-6

x=7

Hope this helps!

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3