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Mathematics 16 Online
OpenStudy (lina17):

2 over 3 (x-2)=4x

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

i bet it is \[\frac{2}{3}(x-2)=4x\] am i right?

OpenStudy (lina17):

\[\frac{ 2 }{ 3}(x-2)=4x\]

OpenStudy (misty1212):

yeah that is what i thought i would get rid of the annoying fractions right away and multiply both sides by \(\frac{3}{2}\)

OpenStudy (misty1212):

that will leave you with just \(x-2\) on the left

OpenStudy (misty1212):

what is \[\frac{3}{2}\times 4x\]?

OpenStudy (lina17):

would it be \[\frac{ 16 }{ 8}\]

OpenStudy (misty1212):

no

OpenStudy (misty1212):

\[\frac{3}{2}\times 4\] divide 4 by 2, then multiply the result by 3

OpenStudy (lina17):

so would it be 9

OpenStudy (misty1212):

no not 9 lets go slow what is 4 divided by 2?

OpenStudy (lina17):

2

OpenStudy (misty1212):

ok and what is \(3\times 2\)?

OpenStudy (lina17):

6

OpenStudy (misty1212):

ok good that makes \[\frac{3}{2}\times 4x=6x\]

OpenStudy (lina17):

ok

OpenStudy (misty1212):

so now finally we have \[x-2=6x\] you need to solve that one

OpenStudy (lina17):

5x

OpenStudy (misty1212):

yes you get \[-2=5x\]

OpenStudy (lina17):

so would it be \[-\frac{ 2 }{ 5 }\]

OpenStudy (misty1212):

yes it would

OpenStudy (lina17):

thanks so much

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

jhonyy9 (jhonyy9):

2 ----(x−2)=4x 3 - so i think one more easy way to solve same exercise 2 4x ----(x-2) = ---- in this case cross multiplie and will get 3 1 1*2(x-2) = 3*4x 2(x-2) = 12x 2x-4= 12x 2x-2x-4 = 12x-2x -4 = 10x divide both sides by 10 -4/10 = x -2*2/(2*5) = x so simplifie by 2 -2/5 = x

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