Question

How do I solve
2w-6(w+8)=-12

Answer 1

I added 6 to both sides and did my multiplication and am stuck here,
2w^2+16w=-6

Answer 2

multiply out first on the left

Answer 3

\[2w-6(w+8)=-12\] means
\[2\times w -6\times (w+8)=-12\]

Answer 4

first step is not to add, it is to multiply on the left using the distributive property and get
\[2w-6w-48=-12\]

Answer 5

that is always the first step if you have parentheses, remove the parentheses using the distributive law
second step is to combine like terms
you get
\[2w-6w-48=12\\
-4w-48=-12\]

Answer 6

NOW it is time to add \(48\) to both sides
\[-4w=36\] and finally divide both sides by \(-4\)and you are done

Answer 7

Wish I could explained, though I don't know how to do LaTex coding. Satellite's explanation is very detailed, so I know his would've been far better than mine. :)

Answer 8

Wow, that was awesome. Thank you @satellite73, you're a gift sent from above! Haha :)

Answer 9

yw, my pleasure

Answer 10

Could you possibly help explain to me another question?

Answer 11

I have been trying to solve
-5-(11-2g)=-(g+8)+5

Answer 12

\[-5-(11-2g)=-(g+8)+5
\] again distribute this time on both sides
\[-5-11+2g=-g-8+5\] now combine like terms, this time that means the numbers
\[-16+2g=-g-3\]

Answer 13

add \(g\) to both sides to get them both on the left
\[-16+3g=-3\]

Answer 14

add \(16\) to both sides so all the numbers are on the right
\[3g=13\] and finally divide by \(3\) to get \(g=\frac{13}{3}\)

Answer 15

becoming more clear i hope