SOLUTION: I need help solving this question -2(x+3-6x=2x-3(x+4). I got down to -7x=-6 but don't know if that's right

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Question 1102461: I need help solving this question
-2(x+3-6x=2x-3(x+4). I got down to -7x=-6 but don't know if that's right

Found 2 solutions by Theo, KMST:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you're missing a close parentheses.

if i assume your equation is -2(x+3) - 6x = 2x - 3(x+4) then:

simplify to get -2x - 6 - 6x = 2x - 3x - 12

combine like terms to get -8x - 6 = -x - 12

add 8x to both sides of the equation and add 12 to both sides of the equation to get:

7x = 6

i believe what you did is add x to both sides of the equation and add 6 to both sides of the equation to get:

-7x = -6

those answers are the same, since if you multiply both sides of -7x = -6 by -1, you get 7x = 6.

if your solving for x, then you should get:

7x = 6
divide both sides of the equation by 7 to get x = 6/7

if you started with -7x = -6 and then solved for x, you would do the following.
start with -7x = -6
divide both sides of the equation by -7 to get x = -6/-7 which would result in x = 6/7

the answer, in either case, will be the same.


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You are missing a closing parenthesis.
I assume you meant
-2%28x%2B3%29-6x=2x-3%28x%2B4%29 .
Naturally, you started by clearing parentheses by applying the distributive property,
going from
-2%28x%2B3%29-6x=2x-3%28x%2B4%29 to -2x-6-6x=2x-3x-12 .
After that, you may have collected like terms on each side, to get
-8x-6=-x-12 ,
followed by adding x%2B6 to both sides of the equal sign,
to get the equivalent equation
-8x-6%2Bx%2B6=-x-12%2Bx%2B6 , which simplifies to -7x=-6
The next step is to multiply both sides of the equal sign times -1%2F7 .
Your teacher may call that divide by -7 ).
That takes you from %28-7%29%2Ax=%28-6%29 to %28-1%2F7%29%2A%28-7%29%2Ax=%28-1%2F7%29%2A%28-6%29 ,
which simplifies to 1%2Ax=6%2F7 or highlight%28x=6%2F7%29 .

What you did is one if many absolutely correct ways to handle the problem.
You may not like the minus signs, but there is no reason to be afraid of negative numbers
(unless you see them in your bank account balance of the outdoor thermometer reading).