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Algebra II Equations help! 10 Points!?

Can you also show me the work? Thanks. :)

1. -5(-6 - x) = 6 + 3(8+2x)

2. -6(7 -x )=10(x+3) - 24

3. -3(-4x + 5) = 5(-3x + 7) + 10

5 Answers

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  • 9 years ago
    Favorite Answer

    -5 ( -6 - x ) = 6 + 3 ( 8 + 2x )

    30 + 5x = 6 + 24 + 6x

    30 + 5x = 30 + 6x

    30 - 30 + 5x = 30 + 6x -30

    5x = 6x

    5x - 5x = 6x - 5x

    0 = x

    -6 ( 7 - x ) = 10 ( x + 3 ) - 24

    -42 + 6x = 10x + 30 - 24

    -42 + 6x = 10x + 6

    -42 + 42 + 6x = 10x + 6 + 42

    6x = 10x + 48

    6x - 10x = 10x - 10x + 48

    -4x = 48

    -4x/-4 = 48/-4

    x = -13

    -3 ( -4x + 5 ) = 5 ( -3x + 7 ) + 10

    12x - 15 = -15x + 35 + 10

    12x - 15 = -15x + 45

    12x - 15 + 15 = -15x + 45 +15

    12x = -15x + 60

    12x + 15x = -15x + 15x + 60

    27x = 60

    27x/27 = 60/27

    x = 60/27

  • Bea
    Lv 5
    9 years ago

    All three problems require the same steps.

    1. -5(-6 - x) = 6 + 3(8+2x) Distribute

    30 + 5x = 6 + 24 + 6x Combine like terms

    30 + 5x = 30 + 6x Collect variable terms on the left

    30 - 1x = 30 Subtract 30 from both sides

    -1x = 0 Divide both sides by -1

    x = 0

    2. -6(7 -x )=10(x+3) - 24 Distribute

    -42 + 6x = 10x + 30 -24 Like terms

    -42 + 6x = 10x + 6 Collect variables

    -42 - 4x = 6 Add 42

    -4x = 48 Divide by -4

    x = -12

    3. -3(-4x + 5) = 5(-3x + 7) + 10

    12x - 15 = -15x + 35 + 10

    12x - 15 = -15x + 45

    27x - 15 = 45

    27x = 60

    x = 60/27 = 20/9

  • Sara
    Lv 4
    9 years ago

    1. 30 + 5x = 6 + 24 + 6x

    30 + 5x = 30 + 6x

    0 = x

    2. -42 + 6x = 10x + 30 - 24

    -42 + 6x = 10x + 6

    -48 = 4x

    -12 = x

    3. 12x -15 = -15x + 35 + 10

    12x -15 = -15x + 45

    27x = 60

    x= 60/27

  • becher
    Lv 4
    5 years ago

    Is the + 2 area of the exponent? Like is it meant to be (a million/3)^m = 27^(m+2)? If it really is precisely the way you reported it, then m = -0.678, which I were given from my calculator because i'm a cheater. If both is area of the exponent, then the answer is m = -3/2 by utilising utilising log base 3 on both area.

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  • 9 years ago

    Why don't you learn your OWN work? Get off the internet, open your math book, and study. You're only setting yourself up to fail the rest of the term if you can't learn these simple equasions. It will only get harder. LEARN. Don't be pathetic.

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