How come 2(3x+1)+2(x+5)=8x+12 ?

Question

I have tried to work it out but i couldn't! It's stressing me out!!
Well anyway I need to do this test (and revise it) and its on the interent and when i put someones answer in it was right and i just dont know why its right.
plz some one help me!! LOL

Thanx. The only reason i din't work it out was because I read somewhere that told me: when you simplyfy them you don't add the numbers to the numbers with letters (x). Tats all!! Thanx. I guess I'm just tired

Answer 1

2(3x+1)+2(x+5)=
(6x+2)+2(x+5)=
(6x+2)+(2x+10)=
6x+2+2x+10=
6x+2x+2+10=
8x+12

Answer 2

you could try expanding out the brackets giving

6x+2 +2x+10=8x+12.

add the x's and add the numbers

8x+12= 8x+12

What you are dealing with here is two sets of brackets that need to be simplified before you add them together. You multiply the 2 by the 3x and that gives you 6x you also need to multiply the 2 by the 1 in the first bracket.

The second bracket is dealt with in the same way 2 by the x gives 2x 2 by the 5 gives 10

add the x's together 6x plus 2x is 8x.

add the numbers together 2 plus 10 is 12.

To practice you can try the following one that I just made up

2(x+2) + 2(2x+6)=6x+16

expand the brackets one at a time and add the results to show that the left equals the right.

Hope it helps.

Answer 3

When you see a number outside of parenthesis, you distribute that to the items inside the parenthesis. This is called distribution. So, by distributing 2 to 3x and 1, you get 2 times 3x plus 2 times 1, which should be 6x + 2. THen you do the same for the 2(x+5), which should end up being 2x + 10. Since these to terms are to be added, 6x+2+2x+10 gives you 8x+12 by combining the x's and combining the pure numbers separately.

Answer 4

When you have brackets in algebra, you have to times whatever is on the outside by whatever is on the inside, then add them together.

So you would do:
(2 x 3x) + (2 x 1) + (2 x x) + (2 x 5)

The first bracket would equal 6x because if you have 3 lots of something and then you double it you will have 6 lots.
The second bracket would be 2.
The third bracket will be 2x because 2 times something is the same as having 2 lots of something.
The fourth bracket will be 10.

If you put this together you get:
6x + 2 + 2x + 10.

You can now add the xs and the numbers together to get:
8x + 12.

Answer 5

Well ami you first have to work out what 2(3x +1) is...you must multiply the first part, 3x+1 by 2,which is 6x+2....next multiply the second part, x+5 by 2,which is 2x+10....now add these together and you will get 6x+2x which =8x,then add up the numbers 2+10 which=12,so,the answer is 8x +12....u see? U have to multiply whats in the bracket by whats outside the bracket and add similar terms together.e.g. numbers or x's.

Answer 6

First part: 2 * (3x+1) = 2 * 3x + 2 * 1 = 6x + 2
Second part: 2 * (x+5) = 2 * x + 2 * 5 = 2x + 10
First part + Second Part:
6x + 2 + 2x + 10 = 6x + 2x + 2 + 10 = 8x + 12

Answer 7

2(3x+1)= 6x+2
2(x+5) =2x +10
the 2 outside the brackets mean that everything inside the brackets should be multiplied by 2
and if you add 6x+2 and 2x+10 the answer is 8x +12

Answer 8

Multiply what's outside each parentheses by whats inside it. Then just add it all up:

2(3x+1) = 6x + 2
2(x+5) = 2x + 10

6x + 2x = 8x
2 + 10 = 12
= 8x + 12

Answer 9

Are you finding for the value of X or just finding the final outcome.

Either way, it's like this:

2(3x + 1) + 2(x+ 5)
= (6x + 2 )+ (2x + 10)
= 8x + 12 --> if you are just finding the final outcome this is it

If youre finding for the value of X, this is it
from 8x + 12
8x = -12
x= -12/8
x= -6/4
x= -3/2 --> this is the value of X in its lowest term

ANSWER: -3/2

I hope this helps.

Answer 10

2(3x+1) + 2(x+5)

2 times 3x and 2 times 1 plus 2 times x and 2 times 5

= (6x +2) + (2x + 10)

6x plus 2x and 2 plus 10
=8x + 12

Answer 11

2(3x+1)+2(x+5)

= (6x + 2) + (2x + 10) (use the 2 to multiply in both brackets)

collecting like terms - x's and the "non-x's":

= 6x + 2 + 2x + 10
= 6x + 2x + 2 + 10
= 8x + 12