solve for the unknown variable 2/5(3x-4)=-4

Question

solve for the unknown variable 2/5(3x-4)=-4

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Katherine 2 weeks 2021-10-07T01:09:18+00:00 2 Answers 0

Answers ( )

    0
    2021-10-07T01:10:34+00:00

    Step-by-step explanation:

    HERE IS HOW YOU COULD SOLVE IT !!

    Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

    WHICH THE ANSWER WOULD BE x= -2

    0
    2021-10-07T01:11:11+00:00

    Answer:

    x = -2

    Step-by-step explanation:

    Solve for x:

    (2 (3 x – 4))/5 = -4

    Multiply both sides of (2 (3 x – 4))/5 = -4 by 5/2:

    (5×2 (3 x – 4))/(2×5) = -4×5/2

    5/2×2/5 = (5×2)/(2×5):

    (5×2)/(2×5) (3 x – 4) = -4×5/2

    5/2 (-4) = (5 (-4))/2:

    (5×2 (3 x – 4))/(2×5) = (-4×5)/2

    (5×2 (3 x – 4))/(2×5) = (2×5)/(2×5)×(3 x – 4) = 3 x – 4:

    3 x – 4 = (-4×5)/2

    (-4)/2 = (2 (-2))/2 = -2:

    3 x – 4 = 5×-2

    5 (-2) = -10:

    3 x – 4 = -10

    Add 4 to both sides:

    3 x + (4 – 4) = 4 – 10

    4 – 4 = 0:

    3 x = 4 – 10

    4 – 10 = -6:

    3 x = -6

    Divide both sides of 3 x = -6 by 3:

    (3 x)/3 = (-6)/3

    3/3 = 1:

    x = (-6)/3

    The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

    Answer:  x = -2

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