Help me with this homework help thanks?

Question

Solve the equation for x: 2x + 3 = 9

can you tell me how to solve this, step by step.. Thanks

Thats what I thought it was.. Thanks so much.. lol and this was for me.. I never took algebra in school (wishing I did) but thanks for all the answers.. and to the person who said, this question was an insult to yahoo, really no need to add that comment

Answer 1

When you are given an equation to solve for a variable (commonly x), the goal is to "Isolate" x in one side.

When
2x + 3 = 9

There is a property of equality which states that "adding/subtracting the same quantity to/from both sides retains the trueness of the equality"

Since we need to isolate x, we need to eliminate the 2 and the 3. We must do this step by step. (and remember that 2x means 2 times x)
2x + 3 = 9

In solving equations of this kind, we can readily eliminate 3. Since we can add/subtract any same number from both sides, we may try to think of a number which when added/subtracted from the left side eliminates the + 3.
2x + 3 = 9

If we try to subtract 3 from both sides of the equation, the equation is still true.
2x + 3 - 3 = 9 - 3

Now 2x + 3 - 3 is just 2x because it is just adding and subtracting the same number (3) from a number (2x). While the right side 9 - 3 = 6.
2x = 6

Now, there is another property of equality which states that "multiplying/dividing both sides by a NONzero number does not affect the trueness of the equality"
(Note: NONzero because, for example, 2 = 3. It is not true. but if you multiply 0 to both sides it becomes 0 = 0, which is now true. Therefore it is illegal to multiply 0 to both sides. Likewise dividing both sides by 0 results to undefined values, because division by 0 is not allowed).

2x = 6

We now think of a number which when it multiplies/divides both sides, it will eliminate the 2. When we divide both sides by 2,
2x / 2 = 6 / 2

Now 2x / 2 is just x because you multiply and then divide by the same number, 2. the right side is 6/2 = 3.
x = 3

Therefore, x = 3.

^_^

Answer 2

First, subtract 3 from both sides:2x=6; next, divide both sidesby 2: x=3.

Answer 3

2x+3=9
taking 3 to right hand side of the equation .
2x=9-3
2x=6
x=6/2
x=3

Answer 4

2x + 3 = 9

Subtract 3 from both sides:

2x = 6

Divide both sides by 2:

x = 3

Answer 5

Several others have given you the correct answer. I bow before them. I knew the answer was x= 3 but telling you how to get there... made me remember that I didn't like algebra! Good luck with helping your child with the homework. I was blessed, my children figured out early on that they needed to help themselves in this area since I was clueless --- one is in college -- Electrical engineering and the other in High school ---both were in advanced placement math classes and excel at math.

Answer 6

2x + 3 = 9
2x = -3 + 9
2x = 6
2x/2 = 6/2
x=3

Answer 7

2x + 3 = 9 -------equation
2x + 3 + (-3) = 9 + (-3) -------by additional property of equality
2x = 6 -------from simple addition
(1/2)2x = (1/2)6 -------by multiplicative property of equality
x = 3 -------unique solution

Answer 8

you can simplify that into 2x = 6. by sending 3 to the ither side,sign changes.then x gives 3

Answer 9

2x+3=9
2x=9-3
2x=6
x=6/2
x=3

Answer 10

I'll walk you through it.
Isolate the 2x (subtract 3 from both sides)
so, now you have 2x = 6
to get x by itself, divide both sides by 2
Voilà!