(-2) . (x-3) – 4/5 . (x-1/2) = 5/6 x – 2/3

(-2) . (x-3) – 4/5 . (x-1/2) = 5/6 x – 2/3

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  1. Đáp án:  `x = 212/109`

    Giải thích các bước giải:

    `(-2) . (x – 3) – 4/5 . (x – 1/2) = 5/6 . x – 2/3`

    `⇒ -2x + 6 – 4/5 . x + 2/5 = 5/6 . x – 2/3`

    `⇒ (-2x – 4/5 . x) + (6 + 2/5) = 5/6 . x – 2/3`

    `⇒ (-2 – 4/5) . x + (30/5 + 2/5) = 5/6 . x – 2/3`

    `⇒ (-10/5 – 4/5) . x + 32/5 = 5/6 . x – 2/3`

    `⇒ (-14/5) . x + 32/5 = 5/6 . x – 2/3`

    `⇒ (-14/5) . x – 5/6 . x = (-2/3) – 32/5`

    `⇒ (-14/5 – 5/6) . x = (-10/15) – 96/15`

    `⇒ (-84/30 – 25/30) . x = -106/15`

    `⇒ (-109/30) . x = -106/15`

    `⇒ x = (-106/15) : (-109/30)`

    `⇒ x = (-106/15) . (-30/109)`

    `⇒ x = 212/109`

    Vậy `x = 212/109`

     

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  2. `(-2)(x-3)-4/5 . (x-1/2)=5/6x-2/3`

    `⇔-2x+6-4/5x+2/5=5/6x-2/3`

    `⇔-2x-4/5x-5/6x=-6-2/5-2/3`

    `⇔-109/30x=-106/15`

    `⇔x=(-106/15):(-109/30)`

    `⇔x=212/109`

     

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