How do you solve 3abs(2x-5)=39?

2 Answers
May 24, 2018

x=-4 or x=9

Explanation:

lets find first where 2x-5=0 the answer to that is x=2.5
If x >2.5 then 2x-5>0 so the ansolute value is 3(2x-5)=39
If x<2.5 then 2x-5<0 so the absolute value is 3(5-2x)=39
So it gives u different solutions in the first case where the x>2.5 is 6x-15=39=>6x=54=>x=9
In the secont case where x<2.5 its 15-6x=39=>6x=-24=>x=-4

May 24, 2018

x=9 or x=-4

Explanation:

Well, we can divide the 3 out to get

|2x−5|=13

Now we know that 2x-5 must equal 13 or -13 because it is the absolute value. We set 2x-5 equal to 13 and -13 and solve for x.

So

2x-5+5=13+5

2x=18

Divide both sides by 2 and get

x=9

Also

2x-5+5=-13+5

2x=-8

Divide both sides by 2 and get

x=-4

There you have it. x=9 or x=-4.