Solve. Evaluating expression 7|4x-13|=35?

Question

can someone work out the problem so i know how its done

Answer 1

7|4x-13|=35

|4x-13| = 5

Then solve for both positive and negative 5.

4x-13 = 5

4x = 18

x = 4.5

4x-13 = -5

4x = 8

x = 2

Final answers are 4.5 and 2

Answer 2

7 I4x - 13I = 35

First, you want to get rid of the 7 in front of the I4x - 13I

So, to do that, you have to DIVIDE from both side.

That leaves you with:

I4x - 13I = 35 / 7

I4x - 13I = 5

Now, to get all of the [x] on one side and the "normal" numbers on the other side, you have to ADD [13] on both sides to get rid of it on the left side.

4x = 5 + 13

4x = 18

x = 4.5

And of course, because of this thingy I       I, there might be a second answer.  SO, you also have to solve for:

I4x - 13I = -5

So you add 13 to both sides....

4x = -5 + 13

4x = 8

x = 2

Tadaaaaa! :)