## YanaSidlinskiy one year ago So guys! I need some quick help and then I'm out! It's urgent and I can't resist not posting it here!

1. YanaSidlinskiy

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

2. YanaSidlinskiy

My answer came out to something funky like 40x + 10 = 10 - 6x

3. YanaSidlinskiy

Idk what I did wrong.

4. ganeshie8

long time!

5. YanaSidlinskiy

I know!!! Omg!! You're amazing!!

6. ganeshie8

$\frac{ 2 }{ 5 } (4x+6) = 2 (2-3x) + 6$ multiply $$5$$ through out and get $2 (4x+6) = 10 (2-3x) + 30$ distributing $8x+12 = 20-30x + 30$

7. YanaSidlinskiy

Wait. So once I multiply I don't put it back as a fraction like: $\frac{ 8 }{ 5 } x + \frac{ 12 }{ 5 }$

8. ganeshie8

we have $\frac{ 2 }{ 5 } (4x+6) = 2 (2-3x) + 6$ multiplying $$5$$ through out gives $\color{red}{5}*\frac{ 2 }{ 5 } (4x+6) = \color{red}{5*}2 (2-3x) + \color{red}{5*}6$

9. phi

**Wait. So once I multiply I don't put it back as a fraction like:*** you could do that, by gan is showing a nicer way.. it gets rid of the fraction

10. phi

the idea is multiply both sides by 5 (which is OK to do) and on the left, the 5/5 cancel. and no more fraction

11. phi

btw, you should continue to simplify until you get x= some number.

12. YanaSidlinskiy

Yes, that's what I was doing. I got 1! Thanks guys for the help! I appreciate it! I'll use this as an example to lead me through more! Thanks again!

13. YanaSidlinskiy

I wish you were my teacher, ganeshie! It's soo much easier with your steps!!

14. ganeshie8

one key thing about math in general is - follow the rules and all your methods will produce the same answer in the end and ofcourse there always exists the best way to do any problem :)

15. YanaSidlinskiy

Yes, that's what I was doing. I was taught some other way like finding LCD which drives me insane!!! I always want to die when I see finding LCD. It's a killer! Oh yes! That's why I always ask you, because you always have some way that I do not know!!;))