i do not get algebra. Please help me on these()?

Question

ok here is the question. please tell me how to do it i don;t just want the answer i want to figure it out myself. after the explanation i would like the answer to see if i did it right. Also if there is a website that give you help on algebra and on these() i have no idea how to spell them. please help me!!!! thank you

ok the question i do not get are...

1. 2 (X+3) = 10
2. 2 (X+3) = 9 + X
3. 2 (2X + 1) =3 X + 8
4. 2 (2X + 3 = X + 9
5. 2 (X+4) = X+ 10

Answer 1

In all of these problems, the first thing to know is (a) you have to multiply what is in the parentheses by 2 (in these cases: it could be anything else at all of course). Once the parentheses are dealt with and gone, your next step is (b) to move all the X's to one side of the equal sign, usually the left side, and the numbers to the other side of the equal sign. You do this by adding or subtracting any part you need to move. Once you have the X's together on one side and the numbers together on the other, (c) you divide each side by whatever coefficient X has (even a fraction) so that you end up with just, and exactly, one X on that side. And the resulting number on the other is what X equals!

For instance:

1. 2 (X+3) = 10

(a) Deal with the parentheses and get rid of them: 2X + 6 = 10.
(b) Add or subtract anything not containing X from the left. Add or subtract anything that does contain X from the right: 2X + 6 - 6 = 10 - 6 which is: 2X = 4.
(c) Divide each side by X's coefficient to get just, and exactly, one X on that side: 2X / 2 = 4 / 2 which is: X = 2.

And that is exactly what X equals: 2.

X = 3 { 2. 2 (X+3) = 9 + X }
X = 6 { 3. 2 (2X + 1) =3 X + 8 }
X = 1 { 4. 2 (2X + 3) = X + 9 }
X = 2 { 5. 2 (X+4) = X+ 10 }

Hope it helps.

Answer 2

In addition to indicating the order of operations, parentheses, as you have written the problems, also indicate an implicit multiplication, so

2(x+3) = 10 means that the 2 will multiply both the x and the 3, contained within the parentheses

2x + 6 = 10

Now you can solve
2x = 4
x = 2

In problem 3 the 2 multiplies the contents of the parentheses again so
2(2x + 1) = 3x+8
can be rewritten as
4x + 2 = 3x + 8

Collect the x terms on one side of the = and the numbers on the other to solve for x and you're done

Answer 3

Everyone above has answered your problems correctly, but the best way to look at () parenthesis is as follows:

You pull a number out of the () because you are saying that that operation (multiply or divide etc) needs to be done to any numbers inside. For example lets say you had the following formula:

100+200=300

another way to write it would be:

10(10+20)=300

because you are going to multiply 10 times each of the inside numbers. So if the above formula was written like below:

10(x+2x)=300

Multiply and get:

10x+20x=300

Add and get

30x=300

divide 30 from each side and get:

x=10

Answer 4

when you have a ( ) you need to take care of that first so if you have x(y+z) you need to multiply both items inside the ( ) by what is outside... in this example it would be x*y+x*z

so in example 1 you have 2(x+3)=10 there are 2 ways to go you can either distribute the 2, to make the equation:

2x+6=10 and then solve for x...subtract 6 from both sides

2x=4 divide both sides by 2 so you get x=2

or when you start with 2(x+3)=10 you can divide both sides by x giving you x+3=5 then subtract 3 from both sides giving you x =2

hope this helps

Answer 5

I will show you one example on how to solve this problem.

1)2(x+3)=10
2x+6=10
2x+6-6=10-6
2x=4
2/2x=4/2
x=2

Check:
2(2+3)=10
2(5)=10
10=10

Just apply this example to the other problems!

Answer 6

() are parenthesis and it means that you need to do that part of the equation before the rest...

Answer 7

you didn't put a question