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anonymous

  • 4 years ago

Solve 3|2x + 2| − 7 = 5 for x. Show your work.

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  1. anonymous
    • 4 years ago
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    start with \[3|2x+2|=12\] then \[|2x+2|=4\] then solve two equations \[2x2=4\] and \[2x+2=-4\] separately, get two different solutions

  2. myininaya
    • 4 years ago
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    so we have \[6|x+1|-7=5\] Add 7 on both sides \[6|x+1|=12 =>|x+1|=\frac{12}{6}=>|x+1|=2\]

  3. myininaya
    • 4 years ago
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    Now we have to solve \[x+1=2 \text{ or } x+1=-2\]

  4. myininaya
    • 4 years ago
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    I think satellite made a type-0 is first equation should be 2x+2=4 lol

  5. myininaya
    • 4 years ago
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    i made a type-o his* not is

  6. anonymous
    • 4 years ago
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    Distribute 3 to 2x+2. That equals 6x +6. 6x+6-7=5 Isolate the variable by moving all of the numbers over to one side. -6 -6 +7 +7 6x=6 Divide by 6 to get x alone x=6

  7. myininaya
    • 4 years ago
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    you mean x=1 which is one solution

  8. myininaya
    • 4 years ago
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    there is another solution x=-3

  9. anonymous
    • 4 years ago
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    yeah that's what i meant! :) I'm not that great at math, so some things slip. Anyways, that's how I think you should do it, but I can't be a hundred percent sure.

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