Question

Show your work:
(x-2)/4 + x/3 = 3

Answer 1

@Elysse2012 did you try this?

Answer 2

yeah.... i did this (12) ((x-2)/4) + (12)(x/3) = (12)(3) because 12 is the LCM
and i was wondering if what i got was right. I got 12x-6/3 + 12/4 = 36 which is 4x-2+3 = 36 then 4x+1 = 36..... but that's not right i dont think.

Answer 3

LCM is 12 that's correct
now we have
\[\frac{x-2}{4}+\frac{x}3=3\]
multiply by 12
\[12\times \frac{x-2}{4}+12\times\frac x3=12\times 3\]
\[\cancel{12}3\times \frac{x-2}{\cancel 4}+\cancel{12}4\times\frac x {\cancel 3}=12\times

3\]
we get
\[3(x-2)+4x=36\]
\[3x-6+4x=36\]
Can you solve now?

Answer 4

whered the 12 3 and the 12 4 come from?

Answer 5

12 got cancelled by 4 and then we get 3

Answer 6

@Elysse2012 ?

Answer 7

ok. i get what youre saying now. sigh.... I hope this all clicks soon :/

Answer 8

it'll soon. Did you understand this?

Answer 9

yeah. thanks!