Question

2/3 x + 4= 3/5 x - 2

its a fraction

Answer 1

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

do you know the LCD?

Answer 2

Lcd?

Answer 3

or GCD
never mind

ok we want to get rid of the fractions
so what could we do to get rid of 2/3?

Answer 4

Multiply 2/3 by 3/2 ?

Answer 5

ok thats a start, but remember, we need to multiply something to the entire side

is we multiplied by 3/2 to both sides, we would still have a fractions

instead what would happen if you multiplied by 3 to the entire thing

Answer 6

so it'd be the bottom number, 3, multiplying into 2/3 and cancel out the 3's?

Answer 7

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

actually if you multiplied 3/2 to both sides, it works out pretty well
so you would be right

Answer 8

cause 4 and 2 are both even :P

Answer 9

oh ok, then what would i do after

Answer 10

lets first look at what you would get once you multiplied by 3/2
\[x+6=\frac{9}{10}x-3\]

we want to get rid of the fraction, any guesses?

Answer 11

uhm.......? lol i dont understand

Answer 12

you do know hte distributive property right?

a(x+y)= ax+ay

Answer 13

yes

Answer 14

i just multiplied by 3/2 to get rid of the 2/3 fraction
but whenever you do something to one side, you need to do it to the other

you cant just multiply something by 3/2, you need to multiply the entire thing by 3/2

Answer 15

ok i think i understand

Answer 16

so now that we ahve
x+6=9/10 x−3

what do you think we should multiply to the entire thing to get rid of the fraction?

Answer 17

hint: try 10

Answer 18

I dont understand again this is really confusing haha

Answer 19

we want to get rid of the fraction 9/10

one way of doing so would be multiplying 10 to it

9/10*10=?

Answer 20

\[\frac{9}{10}*10=???\]

Answer 21

\[10(x+6)=(\frac{9}{10} x−3)10\]
\[10x+60=9x−30\]
solve for x