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

1. ## [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.
Here it comes:

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

This one's for you my friend:

2. Originally Posted by WendyM

X + 6 / 3 = 8 - 2(X + 4) / 5
I assume you mean ...

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

is this correct?

in the future, use proper grouping symbols to make clear your mathematical equations and expressions.

3. Originally Posted by WendyM
...
Here it comes:

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

...
I assume that you mean:

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

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

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

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

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

I'll leave the rest for you. (I've got x = 6)

4. Thanks, but I really need the result too

5. Originally Posted by WendyM
Thanks, but I really need the result too
In my previous post you find this sentence:

(I've got x = 6)