Question

How do you solve `14+ 3|2x-5| = 17`?

Answer 1

Solution: `x=3 ,x=2`

Explanation:

`14 + 3 | 2x-5| =17 or 3 | 2x-5| =17-14 or 3 | 2x-5| =3`

or `| 2x-5| =1 or 2x -5 =1 or 2x =6 or x=3` OR

`14 + 3 | 2x-5| =17 or 3 | 2x-5| =17-14 or 3 | 2x-5| =3`

or `| 2x-5| =1 or 2x -5 = -1 or 2x = 4 or x=2`

Solution: `x=3 ,x=2` [Ans]

Answer 2

`x = 2`
`x = 3`

Explanation:

First we would equal the equation to `0` be rearranging the equation.

`-3 + 3|2x−5| = 0`

Now for this equation to be complete, we know that `3|2x−5|` must equal to `3` for the equation to equal to `0`

`3|2x−5| = 3`

Therefore, dividing by 3 on both sides, we get

`|2x−5| = 1`

Since it is an absolute value we can have two equations

`2x−5 = -1`
`2x−5 = 1`

Rearranging to get `x` on its own, we solve for `x`

`x = (-1 + 5)/2`

`x = (1 + 5)/2`

`x = 2`
`x = 3`