# [SOLVED] Solve for x in this rational function equation

• Feb 6th 2009, 07:06 AM
WendyM
[SOLVED] Solve for x in this rational function equation
After somebody kind person has told me the result of this thing here I can finally start to enjoy my weekend. I've banged my head against the wall with this task for hours and I can't find the anwer. (Headbang)
Here it comes:

X + 6 / 3 = 8 - 2(X + 4) / 5

This one's for you my friend: (Clapping)
• Feb 6th 2009, 07:12 AM
skeeter
Quote:

Originally Posted by WendyM

X + 6 / 3 = 8 - 2(X + 4) / 5

I assume you mean ...

$\frac{x+6}{3} = 8 - \frac{2(x+4)}{5}
$

is this correct?

in the future, use proper grouping symbols to make clear your mathematical equations and expressions.
• Feb 6th 2009, 07:16 AM
earboth
Quote:

Originally Posted by WendyM
...
Here it comes:

X + 6 / 3 = 8 - 2(X + 4) / 5

...

I assume that you mean:

$\dfrac{x+6}3=8-\dfrac{2(x+4)}5$

To get rid of the denominators multiply both sides by 15:

$5(x+6)=8 \cdot 15-6(x+4)$

Expand the brackets and collect all terms containing x at the LHS of the equation, all constants at the RHS:

$5x+30=120-6x-24$

I'll leave the rest for you. (I've got x = 6)
• Feb 6th 2009, 07:19 AM
WendyM
Thanks, but I really need the result too (Speechless)
• Feb 6th 2009, 07:41 AM
earboth
Quote:

Originally Posted by WendyM
Thanks, but I really need the result too (Speechless)

In my previous post you find this sentence:

(I've got x = 6)