Cual es la justificación de este paso \frac{3}{2}[6(x-3+2]=-6

Question

Cual es la justificación de este paso
\frac{3}{2}[6(x-3+2]=-6

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Cora 4 weeks 2021-12-27T14:44:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-12-27T14:45:59+00:00

    3
    2
    (
    6
    (
    x

    3
    +
    2
    )
    )
    =

    6
    Step 1: Simplify both sides of the equation.
    3
    2
    (
    6
    (
    x

    3
    +
    2
    )
    )
    =

    6
    9
    x
    +

    9
    =

    6
    (Distribute)
    9
    x

    9
    =

    6
    Step 2: Add 9 to both sides.
    9
    x

    9
    +
    9
    =

    6
    +
    9
    9
    x
    =
    3
    Step 3: Divide both sides by 9.
    9
    x
    9
    =
    3
    9
    x
    =
    1
    3

    0
    2021-12-27T14:46:19+00:00

    Answer:

    x = 1/5

    Step-by-step explanation:

    Expand the following:

    (3×5 (x – 3 + 2))/2 = -6

    Add like terms. 2 – 3 = -1:

    (5×3 (x – 1))/2 = -6

    5×3 = 15:

    (15 (x – 1))/2 = -6

    15 (x – 1) = 15 x – 15:

    (15 x – 15)/2 = -6

    (15 x – 15)/2 = (15 x)/2 + 1/2 (-15):

    (15 x)/2 – 15/2 = -6

    Add 15/2 to both sides:

    (15 x)/2 + (15/2 – 15/2) = 15/2 – 6

    15/2 – 15/2 = 0:

    (15 x)/2 = 15/2 – 6

    15/2 – 6 = 3/2:

    (15 x)/2 = 3/2

    Multiply both sides of (15 x)/2 = 3/2 by 2/15:

    (2×15 x)/(15×2) = 2/15×3/2

    2/15×1/2×15 = (2×15)/(15×2):

    (2×15)/(15×2) x = 2/15×3/2

    2/15×3/2 = (2×3)/(15×2):

    (2×15 x)/(15×2) = (2×3)/(15×2)

    (2×15 x)/(15×2) = (15×2)/(15×2)×x = x:

    x = (2×3)/(15×2)

    (2×3)/(15×2) = 2/2×3/15 = 3/15:

    x = 3/15

    The gcd of 3 and 15 is 3, so 3/15 = (3×1)/(3×5) = 3/3×1/5 = 1/5:

    Answer: x = 1/5

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