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

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) (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) (Show Source): You can put this solution on YOUR website!
You are missing a closing parenthesis.
I assume you meant
.
Naturally, you started by clearing parentheses by applying the distributive property,
going from
to .
After that, you may have collected like terms on each side, to get
,
followed by adding to both sides of the equal sign,
to get the equivalent equation
, which simplifies to
The next step is to multiply both sides of the equal sign times .
Your teacher may call that divide by ).
That takes you from to ,
which simplifies to or .

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).
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