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Anyone know how to solve by giving me not only an explanation in words but can show me the equation, to solve the problem below? thanks

-2(w+10)=6w+12

2 Answers

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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.
User Andrewbadera
by
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7 votes
W=-4

Explanation
=============
1. Simplify the equation

-2(w+10)=6w+12 ====>
-2w-20=6w+12

2. Subtract 6w from both sides.

-2w-20-6w=6w+12-6w ====>
-8w-20=12

3. Add 20 to both sides.

-8w-20+20=12+20 ====>
-8w=32

4. Divide both sides by -8

(-8w)/(-8)= (32)/(-8) ====>
w=-4


User Ppi
by
8.7k points

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