Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
Answer: 62.5% 162.5%
and here is more words so the program lets me post this
The answer is -6...
I got this by converting the problem into a variable problem.
-x*5=-30
Therefore, "x" is -6
Let us assume the smallest of the three consecutive integers = x
Then
The middle integer among the three consecutive integers will be = x + 1
The biggest integer among the three consecutive integers will be = x + 2
The sum of the three consecutive integers is already given in the question and it is -165.
Then
x + x + 1 + x + 2 = - 165
3x + 3 = - 165
3x = - 165 - 3
3x = - 168
x = - (168/3)
= - 56
So the integer that is closest to zero is - 56. This is the answer you were looking for hopefully. The other integers will obviously be at a greater distance from zero.
