Question

i need help with this question plz step by step
(4+x)/3+4=(x-6)/2-6

Answer 1

is it this?
\[ \frac{4+x}{3} + 4 = \frac{x-6}{2}-6 \]

Answer 2

yes

Answer 3

The very first thing is add 6 to both sides of the equation. can you do that?

Answer 4

no

Answer 5

do you meen multiply by 6?

Answer 6

write the equation on a piece of paper.
on the left side write +6 . on the right side write +6
then combine 4+6 to get 10
combine -6+6 to get 0

Answer 7

you should get
\[ \frac{4+x}{3} + 10 = \frac{x-6}{2} \]

Answer 8

now multiply both sides by 6. that means multiply every term by 6.

Answer 9

\[\LARGE \frac{4+x}{3}+4+6=\frac{x-6}{2}\;\;\underbrace{-6+6}_{\text{This is 0}}\]
this is what phi is telling you :)

Answer 10

i get it ... go on

Answer 11

now multiply both sides by 6. that means multiply every term by 6.

Answer 12

now it is(4+x)+60=x-6 right?

Answer 13

\[ \LARGE \frac{6(4+x)}{3}+6\cdot10=\frac{6(x-6)}{2}\]

Answer 14

what happened to the 3 and the 2? They are still there in the bottom

Answer 15

But notice you can divide 3 into 6 to get 2.
and on the other side divide 2 into 6

Answer 16

but didnt you get rid of that after multipling by 6?

Answer 17

Only after you divide.

Answer 18

ok.

Answer 19

what did you get?

Answer 20

4+x+60=x-6

Answer 21

is that right?

Answer 22

Do you see Kresh's post. Start with that. Divide the 3 into the 6. You should get 2

Answer 23

\[\LARGE \frac{6(4+x)}{3}+6\cdot 10=\frac{6(x-6)}{2}\]

transform it into...

\[\LARGE \frac{6}{3}\cdot (4+x)+6\cdot 10=\frac{6}{2}\cdot (x-6)\]

Answer 24

2*(4+x)+60=3*(x-6)
does it look like that once simplified?

Answer 25

looks good

Answer 26

now we get rid of the parens. Distribute the 2. That is fancy way of saying, multiply 2 times each term in the parens.

Answer 27

Do the same on the right hand side, distribute the 3

Answer 28

like this
8+2x+60=3x-18

Answer 29

yes. Now combine the 8 and 60

Answer 30

2x+3x=-18-60-8
is that right?

Answer 31

close. You did the numbers correctly. but to move the 3x to the other side you should add -3x to both sides.

Answer 32

wait isnt it 2x-3x?
the answer is 86

Answer 33

that's correct.

Answer 34

thank you both sooooooooooooooo much !!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 35

thank phi... he helped you, I just enjoyed watching lol :F

Answer 36

thank you phi yr awesome !!!!!!!!!!!!!!!!!!!!!!

Answer 37

So the part that confused you was "clearing the fraction" by multiplying by 6. You have to multiply by 6, but not ignore the denominators. You then divide the denominator into the 6. That makes them "go away"

Answer 38

im not normally a dumb student but i needed help badly cuz my math teacher entred me in a math contest in may and i knew i couldnt go unltil i understood this:)

Answer 39

May is coming up fast...

Answer 40

thats the sad part i suck at hurrying up

Answer 41

Good luck. But practice does help.

Answer 42

is it possible in the future you could assist again i meanon this site?

Answer 43

once again thanksssssssssssssssssssssssssss