Algebra help....Basic algebra.?

Question

I need to solve for X -

2/3x = 8

I know it's pretty simple, but I'm totally lost. Any help would be great!

Answer 1

First: eliminate the fraction > multiply the denominator by everything...

(3x)(2/3x) = (3x)(8)

Sec: cross cancel "like" terms on the left side...

2 = (3x)(8)
2 = 24x

Third: isolate "x" on one side > divide both terms by "24"...

2/24 = 24x/24
2/24 = x
x = 2/24

*Simplify the fraction into lowest terms...

x = 1/12

Answer 2

I can't tell from your problem if the "x" is under the division line or not. If it is, then the problem is 2 / (3x) = 8.

The key idea here, is that you can do the same thing to each side of the equation.

So: multiply by (3x)
[ 2 / (3x) ] (3x) = 8 (3x)
3x divided by 3x is 1, (any number divided by itself is 1, unless the number is zero)

... so we have
2 = 8 (3x)
8 times 3 is 24, so we get
2 = 24 x
Now divide each side by 24
2 / 24 = 24 x / 24
24 divided by 24 is 1, so we get
2 /24 = x
Now, 2 /24 is the same as 1/12, so the final answer is
x = 1/12

But ... if the "x" is over the division line, then the problem is different.

Answer 3

If the x is in the numerator (2/3)x=8 then multiply both sides by 3 giving you 2x=24. Then divide both sides by 2, leaving x=12.

If the x is in the denominator 2/(3x)=8 then multiply both sides by x giving you 2/3 = 8x. Then divide both sides by 8, leaving x=2/(3*8) or 1/12.

Answer 4

the guy above me is right but just to clarify:
follow these steps
2/3x=8 this is the problem

3/2x(2/3x)=8(3/2x) multiply the reciprocal of 2/3 on each side

x=8(3/2x) multiplying the reciprocal cancels out 2/3x

8/1(3/2x) put the 8 over one to make it a fraction and multiply across

8x3=24 multiply the two top numbers
1x2=2 multiply the two bottom numbers

x=24/2 then you need to reduce

x=12/1 or 12 thats the answer

Answer 5

If you haven't taken Algebra 1 they are not going to put you into Algebra 2. But if you are concerned about getting the right math credits for college before you graduate you can always look into taking a summer class either through your school district OR there are several universities that offer online classes. Texas Tech, The University of Texas, Nebraska-Lincoln, etc. Just talk to your school counselor about it and figure out what the best road for you is. Good Luck!~

Answer 6

Another simple way is to just divide both sides by 2/3. On the left it will cancel out giving you x=8 divided by 2/3. when you do this in your calculator you would get x=12.

Answer 7

2/3x=8
First multiply both sides by 3 to eliminate the denominator 3 in 2/3
(2/3x)3=(8)3
So
2x=24
Now divide both sides by 2 to eliminate the constant to in x
2x/2=24/2
So
x=12

Now let us check
Substitute x by 12
2/3(12)=24
multiply 2/3 by 12
So
2/3 * 12
cancellation method of 3 and 12
2*4=8

So
8=8
correct

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Answer 8

Is this 2 divided by 3x or is it two thirds of x...

2 divided by 3x = 8
3x divided by 2 = one eighth
(multiply both sides by 2...)
3x = 2(1/8) = 1/4
(divide both sides by 3...)
x = (1/4)/3 = 1/12
x = 1/12

Or... if it's (2/3)x = 8
2x/3 = 8
(multiply by 3...)
2x = 24
(divide by 2)
x = 12

Answer 9

Multiply both sides of the equation by 2/3. The fractions on the left will cancel each other, leaving you with x = ____.

Answer 10

Since x is isolated on one side of the equal sign, all you need to do is multiply both sides by the reciprocal of the fraction (3/2).