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

2 Answers
Sep 26, 2017

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]

Sep 26, 2017

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