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29 July, 17:00

What is the solution to the equation 3 sqrt (5x-4) = 3 sqrt (7x+8) ? x = - 6 x = - 1 x = 1 x = 2

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  1. 29 July, 20:34
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    -6 = x

    Step-by-step explanation:

    3 sqrt (5x-4) = 3 sqrt (7x+8)

    Divide each side by 3

    3/3 sqrt (5x-4) = 3/3 sqrt (7x+8)

    sqrt (5x-4) = sqrt (7x+8)

    Square each side

    (sqrt (5x-4)) ^2 = (sqrt (7x+8)) ^2

    5x-4 = 7x+8

    Subtract 5x from each side

    5x-5x-4 = 7x-5x+8

    -4 = 2x+8

    Subtract 8 from each side

    -4-8 = 2x+8-8

    -12 = 2x

    Divide by 2

    -12/2 = 2x/2

    -6 = x
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