Respuesta :

mendietajose513
W=-4

Explanation 
=============
1.  Simplify the equation
[tex]-2(w+10)=6w+12 [/tex] ====>[tex]-2w-20=6w+12[/tex]

2.   Subtract 6w from both sides.  
[tex]-2w-20-6w=6w+12-6w[/tex] ====> [tex]-8w-20=12[/tex]

3.  Add 20 to both sides.
[tex]-8w-20+20=12+20[/tex] ====> [tex]-8w=32[/tex]

4. Divide both sides by -8
[tex] \frac{-8w}{-8}= \frac{32}{-8} [/tex] ====>[tex]w=-4[/tex]


perixwinkle
Our goal overall is to have W on one side, all by itself.
-2(w+10)=6w+12
We can automatically make it so there are no parenthesis by distributing.
-2w-20=6w+12
Let's add 2w to both sides so we can move it. We have to do it to both sides so it's equal.
-20=8w+12
Now, subtract 12 from both sides.
-32=8w
Now divide both sides by 8.
-4=w
Since we've figured out that the value of w is -4, let's plug it in to make sure.
-2(-4+10)=6(-4)+12
-12=-24+12
-12=-12
The value of w is -4.

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