How do you show work and answer this math problem?

2/3(fraction)x=8. What is x?How do you show work and answer this math problem?
2/3 x = 8





2x = 24





x = 12How do you show work and answer this math problem?
there are a few ways but the simpliest is to multiply both sides by the reciprocal of 2/3 which is 3/2





(3/2)*(2/3)x = (3/2)(8)





note: (3/2)*(2/3) = 1 and 1x = x





(3/2)*(8/1) = (3/1)*(4/1) = 12/1 = 12





x = 12
multiply both sides by 3 so you are left with





2x = 24





now divide both sides by 2





x = 12





check:





2/3(12) = 8





24/3 = 8





8 = 8 check





Answer is 12
(2/3)x = 8.





As you can see, I multiplyed both sides by 3/2.





Answer is x = 12. Hope I helped! :D
2/3x=8


multiply each side by 3/2


x=12
2/3 x = 8


multiply each side my 3/2 to get x by itself





x= 8*3/2





answer is 12 (:
2/3x = 8


divide both sides by 2/3


2/3 x divided by 2/3 = x


and 8 divided by 2/3 = 11.94


x=11.94
2/3 x = 8 multiply both sides by 3/2


3/2 * 2/3 x = 8 * 3/2


x = 24/2


x=12
2/3x so that means 2/3 multiply by 8


so x=8/2/3 so that is 8 multiply by two thirds
x=12





2/3x time 3 = 8 time 3


so 2x = 24


2x divide by 2 = 24 divide by 2


x= 12
(2/3)x=8


Divide each side by (2/3)


x=12