Simplify (4x + 8)/(6x + 12)?

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4(x+2)/6(x+2)=2/3

(4x + 8)/(6x + 12)
= 4(x + 2)/6(x + 2) (cancel out x + 2)
= 4/6
= 2/3

4 (x + 2)
--------------
6 (x + 2)

4
---
6

2
---
3

2/3is the final ans. you just ask to simplyfy it right ?......(^_^)

4x+8=6x+12
4x-6x= 12-8
-2x=4
x=-2

2(3x+4) -3 (4x - 5 ) first do 2(3x+4) 2 circumstances 3x =6x and a couple of circumstances 4 = 8 6x + 8 - 3 (4x - 5) now do three times 4x and get 12x and do -three times -5 and get 15 so no longer interestingly like 6x + 8 - 12x + 15 -6x + 23 that's what i'm getting

(4x+8)(6x+12)
2x+4

(4x +8)/(6x +12)
=(2x+4)/(3x +6)
=2(x+2)/3(x+2)
=2/3 (x +2)

(4x + 8) / (6x + 12)
(2x + 8) / (3x + 12) simplify the coeffeicients by dividing by 2
(2x + 2) / (3x + 3) simplify the constants by dividing by 4
(2 +2) / (3 + 3) cancel out the x's
4 / 6 add
2/3 simplify

First factor both parts of the fraction.
4x+8 has a factor of 4. When the 4 is taken out you have 4(x+2).
6x+12 has a factor of 6. When 6 is taken out you have 6 (x+2)

4(x+2)
________
6(x+2)

The common factor (x+2) can be cancelled out leaving 4/6
Reduce by 2=2/3