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anonymous

  • one year ago

Solve for x: 2 over 3 (x - 2) = 4x.

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  1. Mehek14
    • one year ago
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    \(\dfrac{2}{3(x-2)}=4x\) <- Like that?

  2. condor34
    • one year ago
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    |dw:1435875675581:dw|

  3. condor34
    • one year ago
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    is that what it looks like

  4. anonymous
    • one year ago
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    |dw:1435875771494:dw|

  5. Mehek14
    • one year ago
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    so first step is to distribute

  6. Mehek14
    • one year ago
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    \(\dfrac{2}{3}*x = \dfrac{2}{3}x\)

  7. Mehek14
    • one year ago
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    \(\dfrac{2}{3}*-\dfrac{2}{1}=-\dfrac{4}{3}=-1\dfrac{1}{3}\)

  8. Mehek14
    • one year ago
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    now you have \(\dfrac{2}{3}x-1\dfrac{1}{3}=4x\)

  9. anonymous
    • one year ago
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    okay

  10. anonymous
    • one year ago
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    so would i turn the whole fraction into a mixed fraction

  11. Mehek14
    • one year ago
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    now we can combine the x's \(-1\dfrac{1}{3}=3\dfrac{1}{3}x\)

  12. anonymous
    • one year ago
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    ooooo

  13. Mehek14
    • one year ago
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    now turn them into improper fractions \(\dfrac{-4}{3}=\dfrac{10}{3}x\)

  14. anonymous
    • one year ago
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    ok

  15. anonymous
    • one year ago
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    now would i flip 4 over 3 and multiply both sides

  16. Mehek14
    • one year ago
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    \(\dfrac{-4}{3}*\dfrac{3}{10}=\dfrac{-12}{30}=\dfrac{-2}{5}=x\)

  17. Mehek14
    • one year ago
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    no the other way flip 10/3 into 3/10

  18. anonymous
    • one year ago
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    oooooooooo ok i understand now thank you so much

  19. Mehek14
    • one year ago
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    yw

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