Question

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

Answer 1

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

Answer 2

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

Answer 3

Idk what I did wrong.

Answer 4

long time!

Answer 5

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

Answer 6

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

multiply \(5\) through out and get
\[2 (4x+6) = 10 (2-3x) + 30\]

distributing
\[8x+12 = 20-30x + 30\]

Answer 7

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

Answer 8

we have \[\frac{ 2 }{ 5 } (4x+6) = 2 (2-3x) + 6\]

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

Answer 9

**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

Answer 10

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

Answer 11

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

Answer 12

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!

Answer 13

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

Answer 14

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 :)

Answer 15

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!!;))