Solve the equation... l5x - 8l = lx + 4l?

Question

solve the equation... l5x - 8l = lx + 4l

please show all work to be awarded best answer

Answer 1

Let's find x in 3 steps:

1)x>1.6 then  5x - 8 = x + 4 => x=3 (it is in the range)

2)  -4<x<1.6 then  -5x + 8= x+4  => x= 2/3=0.(6) ( also in the range)

3)  x< - 4 then - 5x + 8 =-x- 4  => x=3 ( it is out of the range!!!)

Answers: x1 = 3  x2=2/3

Answer 2

5x-8= x+4

5x=x+12

4x=12

x=3

5x-8= -x-4

5x= -x+4

6x=4

x=2/3

Answer 3

5x-8= x+4

4x=12

x=3

@

5x-8= -x-4

6x=4

x=2/3

so x=3,2/3

Answer 4

There is two way to answer the question: but there is 1 answer in it

since its an absolute question there is two sides to the question positive and negative.

1.(5x - 8) = (x + 4) subtract the left side by x and add an 8 to the right to keep the x's in one place and the numbers in one place,you can do vise versa in terms of sides.

2. u should get 4x = 12, divide each side by 4 to the answer for x which is x = 3.

other way we you should do cuz sometimes the answer is not always the same

1. -(5x - 8) = -(x + 4) which should end up being -5x + 8 = -x - 4

2. do the same cancellations and yo get -4x = -12, divide each side  by -4 and you still get x = 3

your done.

Answer 5

I'm sorry, I don't get the I's. Are we solving for x?

Answer 6

I5x-8I = Ix + 4I  

5x - 8 = x + 4    or    -5x + 8 = x + 4

4x - 8 = 4          or     -6x + 8 = 4

4x = 12             or     -6x = -4

x= 3                 or      x = 4/6 ... which reduces to 2/3

So x = 3 or x = 2/3

Answer 7

Hi,

l5x - 8l = lx + 4l breaks into 2 equations to solve without absolute value bars:

5x - 8 = x + 4 or 5x - 8 = -x - 4

4x = 12

x = 3 <==ANSWER

5x - 8 = -x - 4

6x = 4

x = 2/3 <==ANSWER

Both answers are good.

I hope that helps!! :-)