Ok explain how do I slove 5x+18=2x+12?

Question

ANNNYYY help is so grrreeeaaatllly appretiated!!

Answer 1

*Keep in mind --- your goal is solving for the "x" variable.

*Combine "like" terms --- combine the values without the"x" variables on one side (right)

First: subtract "18" from both sides (when your moving a term to the opposite side, always use the opposite sign)...

5x + 18 - 18 = 2x + 12 - 18

5x = 2x - 6

Sec: subtract "2x" from both sides....

5x - 2x = 2x - 2x - 6

3x = - 6

Third: solve "x" --- isolate "x" on one side by divide both terms by "3"....

3x/3 = - 6/3

x = - 2

Answer 2

Here's a detailed procedure so you don't miss any steps (I hope):

Start with
5x + 18 = 2x + 12
Get like terms on the same side of the equation:
First, subtract 2x from each side:
5x + 18 - 2x = 2x + 12 - 2x
Now, subtract 18 from each side:
5x + 18 - 2x - 18 = 2x + 12 - 2x - 18
Rearrange it so the like terms are together:
(5x - 2x) + (18 - 18) = (2x - 2x) + (12 - 18)
Simplify:
3x + 0 = 0x - 6
3x = -6
Divide both sides by 3
3x/3 = -6/3
simplify
x = -2

Now test it to see if it's correct by substituting -2 for x in the original equation:
(5 * -2) + 18 = (2 * -2) + 12
(-10) + 18 = (-4) + 12
18 - 10 = 12 - 4
8 = 8
Must be correct!

Answer 3

Alright. You can't add any of your numbers on either side of the equation because on each side of the equation one is an x term and one's a coefficient. Since you don't know what x is, the addition of these numbers have an infinite possibility of values. Therefore, you can't add them.
A good approach would be to do this:

5x+18=2x=12
-2x -18 -2x -18
____________
3x = -6
3x/3 = -6/3
x=-2

Alright, now let me explain to you what I did here. First, I subtracted 2x from both sides of the equation, and I subtracted 18 from both sides of the equation, since whatever you do to one side of the equation you have to do to the other side to keep the value of the original equation. Also, the reason that I eliminated one number from each side of the equation is because then you are able to solve for x so much easier. If you made one side 0, it would be a lot harder to solve for x.
Then I subtracted 2x from 5x, getting 3x and I subtracted 18 from 12, getting -6.
Then I divided each side by the number attatched to the variable, 3, therefore isolating the variable x (leaving just x on the left side of the equation). Then I divided -6 by 3, since what you do to one side of the equation you do to the other side of the equation. Then, since -6/3 is the same as -2 (because 6 divided by three is 2, and there's a negative sign infront of the fraction, making it negative two), x equals -2.
Therefore, my answer for x is -2, which is the answer (x=-2).
There you go. I'm glad I could help. :)

Answer 4

Okay, your goal is to get both x on the same side of the equation and then simplify to get x by itself. First you need to move the 2x to the left side by subtracting it from both sides (5x+18-2x=2x+12-2x). You simplify it down and then you have (5x-2x) or (3x)+18= 12. (The 2x-2x left the 12 by itself) Then get the 3x by itself by subtracting the 18 from each side. : 3x+18-18=12-18. This leaves the 3x by itself because the 18-18 leaves it alone. On the right side you have 12-18. The answer to this would be -6.This leaves you with 3x=-6. Divide both sides by 3 and you get x=-2. Here it is again in numbers only:
5x +18=2x+12
subtract 2x from each side
3x+18=12
subtract 18 from each side
3x =-6
divide each by 3
x=-2 Remember, you have to do the same thing to both sides to keep it balanced, in other words, if you add to one side you have to add to the other. Also, to move something to the other side of the equation you have to do its opposite ex: if its +3 you have to -3 from both sides. The reasoning behind this is that it will leave one side with nothing +3-3=0. Oh, and it doesn't matter if you had moved everything so the x was on the right instead of left then you would have got the same answer.Hope it helps.

Answer 5

OK, here we go:

Step I : 5x + 18 = 2x + 12 may be expressed as 5x - 2x = 12 - 18

(understand how we did it? We took the x to one side and the numbers to the other side)

Step II : 3x = - 6

Step III : x = - 6 divided by 3 ( -6/3) = - 2

x = - 2 is the answer.

Verify: 5x + 18 = 5 . -2 + 18 = -10 + 18 = 8 (LHS of equation)

Verify: 2x + 12 = 2 . -2 + 12 = -4 + 12 = 8 (RHS of equation)

LHS = RHS


Simple, isn't it?

Answer 6

Ok, you have the following equation:

5x +18 = 2x + 12

The first thing you need to do is get both of the variables (the 'x') on the same side of the equals sign. You can do this by subtracting 2x from both sides. This gives you the following:

3x +18 = 12

From there, you'll need to get rid of the '+18' by subtracting it from both sides, as well. This gives you the following:

3x = -6

Now, you can divide by 3 to finish the equation:

x = -2

You can test this by putting it into the original equation, and making sure it's true:

5(-2) + 18 = 2(-2) +12

Since both sides now equal 8, you know your answer is correct.

Answer 7

5x + 18 = 2x + 12

5x + 18 - 2x = 2x + 12 - 2x

3x + 18 = 12

3x + 18 - 18 = 12 - 18

3x = - 6

3x/3 = - 6 / 3

x = - 6/3


x = - 2

The answer is x = - 2

Insert the x value into the equation

- - - - - - - - - - - - - - - - - - - - - - - -

5x + 18 = 2x + 12

5(- 2) + 18 = 2(- 2) + 12

- 10 + 18 = - 4 + 12

8 = 8

- - - - - - - s-

Answer 8

Get all the x's on one side and all the numbers on the other side:
5x+18 = 2x+12
(take 12 from both sides)
5x+6 = 2x
(take 5x from both sides)
6 = -3x
(swap round signs)
3x = -6
(divide both sides by 3)
x = -2

Answer 9

Using the same technique people posted in your last question:

5x+18=2x+12

Subtract 2x from both sides. Now you have all of the "x" terms on one side:

5x+18-2x=2x+12-2x
3x+18=12

Subtract 18 from both sides. Now you have the "X" term alone:

3x+18-18=12-18
3x = -6

Now to get rid of the 3 that's being multiplied by x, divide both sides by 3:

x = -2

Answer 10

First, u need to eliminate x.

You do this by doing to one side what you do to the other...so

5x + 18 = 2x + 12
subtract 2x from both sides....

so your left with
5x + 18 - 2x = 12

now, do the same thing for 18 so you'll have

5x + 18 - 2x - 18 = 12 - 18

So, now you have x eliminated...

5x - 2x = -6
3x = -6

Now, to completely eliminate x, divide both sides by 3....

3x / 3 = -6 / 3
x = 2

I think that is right...double check the final division though...I can't remember if it is a positive 2 or a negative 2....

Good luck, I hope I am right :)