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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

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

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

Now we have to solve $x+1=2 \text{ or } x+1=-2$

4. myininaya

I think satellite made a type-0 is first equation should be 2x+2=4 lol

5. myininaya

i made a type-o his* not is

6. anonymous

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

you mean x=1 which is one solution

8. myininaya

there is another solution x=-3

9. anonymous

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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