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24 August, 08:47

Is 5x-14=8x+4 a no solutions or what?

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  1. 24 August, 11:11
    0
    x = - 6

    Step-by-step explanation:

    Solve for x:

    5 x - 14 = 8 x + 4

    Subtract 8 x from both sides:

    (5 x - 8 x) - 14 = (8 x - 8 x) + 4

    5 x - 8 x = - 3 x:

    -3 x - 14 = (8 x - 8 x) + 4

    8 x - 8 x = 0:

    -3 x - 14 = 4

    Add 14 to both sides:

    (14 - 14) - 3 x = 14 + 4

    14 - 14 = 0:

    -3 x = 4 + 14

    4 + 14 = 18:

    -3 x = 18

    Divide both sides of - 3 x = 18 by - 3:

    (-3 x) / (-3) = 18 / (-3)

    (-3) / (-3) = 1:

    x = 18 / (-3)

    The gcd of 18 and - 3 is 3, so 18 / (-3) = (3*6) / (3 (-1)) = 3/3*6 / (-1) = 6 / (-1):

    x = 6 / (-1)

    Multiply numerator and denominator of 6 / (-1) by - 1:

    Answer: x = - 6
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