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

Question

anonymous · Answer

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

myininaya · Answer

so we have
$$6|x+1|-7=5$$
Add 7 on both sides
$$6|x+1|=12 =>|x+1|=\frac{12}{6}=>|x+1|=2$$

myininaya · Answer

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

myininaya · Answer

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

myininaya · Answer

i made a type-o
his* not is

anonymous · Answer

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

myininaya · Answer

you mean x=1 which is one solution

myininaya · Answer

there is another solution x=-3

anonymous · Answer

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.