how to solve -6(6x+2)<-42x-54?

Question

i think you take -6x off both sides

Answer 1

distribute -6
-36x-12<-42x-54
solve for x add -54 to both sides
-36x+42<-42x
42<-6x divide by -6(since you are dividing by a negative # change inequality sign)
answer: -7>x

Answer 2

Start with the one on the left: multiply -6 to 6x then to 2
The answer should be (-36x) and (-12) or (-36x - 12)
Then: (-36x-12) < -42x -54

and there is no answer for that because you don't know the value of x.

But you can fool around by doing this: -36x-12 < -42x -54

and just transfer the common characters never forgeting to change their signs, so...

it should be
-36x + 42x < -54 + 12

which is: 6x < -42

which, in my understanding...
(you must remove the 6 so that the value of x will be determined

so..devide 6 on both sides

and so: x < -42/6

which is x < -7

So I think the answer is that

x is any number less than -7


THAT IS CORRECT!!!

Answer 3

hi there,

solving an inequality is much like solving an equation you have to expand or "FOIL" and collect like terms...

so,

-6(6x+2) < -42x -54 becomes...

-36x -12 < -42x-54

now... put the x terms on the left side or add +42x to each side to get

6x - 12 < -54

add 12 to each side and get
6x < -42

now divide both sides by 6
x < -7

Remember to reverse the inequality signs if you multiply or divide the inequality by a negative number...

Good luck, hope this helps...

Answer 4

-6(6x + 2 < -42x - 54
-36x -12 < -42x - 54
-36x - 12 + 42x < -42x - 54 + 42x
6x - 12 < -54
6x - 12 + 12 <-54 +12
6x <-42
6x/6 < -42/6
x<-7

Answer 5

-6(6x+2)<-42x-54
solve the expression
-36x-12<-42x-45
take constant values on one side and the values having x on the other side
-36x+42x<-45+12
6x<-33
dividing both sides by 6
x<-33/6

Answer 6

-6(6x+2)< -42x-54
-36x-12<-42x-54
-36x+42x-12<-42x+42x-54
6x-12+12<-54+12
6x<-42
x<-7