Question

help please

Answer 1

Solve for x: 2/3(x-2)=4x

I get confused when there are fractions :/
please help :)

Answer 2

Answer choices:
-2/5
-5/2
2/5
5

Answer 3

@pooja195

Answer 4

Anytime you see paretheses we need to see if we can distribute
\[\huge~\rm~2/3(x-2)=4x\]
can we?

Answer 5

divide it, the answer is 5?

Answer 6

yes

Answer 7

So 2/3x -1 1/3=4x?

Answer 8

something is not right
\[\huge~\rm~( 2 /3 )(x)+( 2/ 3 )(−2)=4x(Distribute)\]

Answer 9

sorry my mistake the answer is - 2/5

Answer 10

@chris88 it would help if you explained your answer.
@horsegirl27 what is 2/3*-2?

Answer 11

ohhh i see my mistake, -1 1/3?

Answer 12

turn that into an IMPROPER fraction

Answer 13

\[\huge~\rm~2 /3 x+ −4 /3 =4x\]

Answer 14

whats the next step?

Answer 15

Subtract 4x from both sides.
\[\huge~\rm~2 /3 x-4x+ −4 /3 =4x-4x\]
\[\huge~\rm~-10/3-4/3=0\]
Add 4/3 to both sides.
\[\huge~\rm~-10/3+4/3 −4 /3 =0+4/3\]
\[\huge~\rm~−10/ 3 x= 4/ 3\]
multiply by the reciprocal (flip fraction to 3/-10)
\[\rm~( 3 −10 )*( −10 /3 x)=( 3/ −10 )*( 4 /3 )\]

Answer 16

once you do that you get your answer

Answer 17

i dunno whether is correct or not, below is my solution:

2/3 = 4x / (x-2)
2(x-2) = 12x
2x - 4 = 12 x
-4 = 12x-2x
-4 = 10x
x= 4/-10
x = -2/5

Answer 18

\(\sf\Large\frac{2}{3}(x-2)=4x\)

Multiply by the reciprocal of \(\sf\Large \frac{2}{3}\) on both sides.

The reciprocal of \(\sf\Large \frac{a}{b}\) is \(\sf\Large \frac{b}{a}\)

Answer 19

After you tell me what you get, we can move on to the next step :P

Answer 20

Sorry, my computer froze! xD

Answer 21

yes, the smart one solution of reciprocal method is right :)