1/8x+4(1/6x-2)=3

Question

I have tried to solve this for 20 minutes

 

Answer 1

Chip is 100% right, but maybe I can simplify his explanation a bit. 

PEMDAS is the way to go.  But first let's write our equation a bit simpler by getting rid of the 1's in the numerator. 

x/8 + 4(x/6 - 2) = 3

Now, let's take care of the parentheses by first distributing the 4:

x/8 + 4(x/6) - 4(2) = 3

Here is your new equation:

x/8 + 4x/6 -8 = 3

Now to get those fractions on the left side alone so we can focus on them, let's move the 8 to the other side by adding it to both sides:

x/8 + 4x/6 - 8 + (8) = 3 + (8)

Here's our new equation:

x/8 + 4x/6 = 11

Now we could simplify the 4x/6, but I think it'd be easier to go ahead and find the common denominator between your fractions and combine them.  Your common denominator would be 24, which leaves you with:

3x/24 + 16x/24 = 11

Now combine like terms:

19x/24 = 11

Now multiply both sides by 24:

24(19x/24) = 11(24)

Now you have:

19x = 264

Now just divide both sides by 19:

19x/(19) = 264/(19)

Now you have:

x = 264/19

 

It's just simple math from there.  :-) I dunno if this helped or not, and like I said, Chip is exactly right.  I just explained it a little differently.

Answer 2

First remember PEMDAS!  You know it?

1/8x+4(1/6x-2)=3

x/8+4(x/6-2)=3 -- remove the 1's

x/8+4(x/6-2)-3=0  move 3 to left

x/8+4x/6-4*2-3=0

USE GCF for next step (GCF is 2)

x/8+2x/3-4*2-3=0

Multiply numerator integers

x/8+2x/3-8-3=0

Simplify subtraction

x/8+2x/3-11=0

Eliminate similar terms  x/8 and 2*x/3 replace with (1/8+2*1/3)x

it becomes:  

(1/8+2*1/3)x-11=0

simplify:

(1/8+2/3)x-11=0

Add fractions...

(19/24)*x-11=0

solve linear equation

19x/24-11=0

This is a lot of steps, you can solve it from here!  Remember if you graph this, it is a line on a X Y coordinate graph!  Hope it helps!

Answer 3

1.  1/8x+4(1/6x-2)=3

First, use the distributive property to multiply the 4 with 1/6X and then muliply 4 with -2 so you get

   1/8X + 4/6X - 8 = 3

Second, combine like terms.  Add 1/8X and 4/6X.  So you get,

     7/24X -8 = 3

Then take the 8 to the other side of the equal sign by adding 8 to both sides.

7/24X = 11

Fourth, isolate the X by multiply both sides by the reciprocal of 7/24.

     X=14

Hope that helps.