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3 June, 09:11

3 (2x+4) - 7=-2 (x-5) + 3x what does x equal? A. 1 B.-1 C.-5 D. 5

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  1. 3 June, 12:43
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    Solve for x:3 (2 x + 4) - 7 = 3 x - 2 (x - 5)

    3 (2 x + 4) = 6 x + 12:6 x + 12 - 7 = 3 x - 2 (x - 5)

    Add like terms. 12 - 7 = 5:6 x + 5 = 3 x - 2 (x - 5)

    -2 (x - 5) = 10 - 2 x:6 x + 5 = 3 x + 10 - 2 x

    3 x - 2 x = x:6 x + 5 = x + 10

    Subtract x from both sides: (6 x - x) + 5 = (x - x) + 10

    6 x - x = 5 x:5 x + 5 = (x - x) + 10

    x - x = 0:5 x + 5 = 10

    Subtract 5 from both sides:5 x + (5 - 5) = 10 - 5

    5 - 5 = 0:5 x = 10 - 5

    10 - 5 = 5:5 x = 5

    Divide both sides of 5 x = 5 by 5: (5 x) / 5 = 5/5

    5/5 = 1:x = 5/5

    5/5 = 1:Answer: x = 1
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