2|2x -1| + 5 = 15

Question

2|2x -1| + 5 = 15

anonymous · Answer

1) subtract 5
2) divide by 2

anonymous · Answer

$$2|2x-1|+5=15$$$$2|2x-1|=10$$$$|2x-1|=5$$So, 2x - 1 have to be equal to -5 or 5. $$2x-1=5 <=> x = 3$$$$2x-1=-5 <=> x=-2$$ Solutions: x = -2 and x = 5

anonymous · Answer

@zairhenrique  try \iff

anonymous · Answer

$\iff$

anonymous · Answer

Oh, thanks :]

anonymous · Answer

yw
i wonder whatever happened to the group "latex practice"? 
it was very useful

jazzyfa30 · Answer

I2x-1I=5

anonymous · Answer

I've recently started using latex, so, i don't know a lot of expressions. Next time I will google it.

anonymous · Answer

best thing to do is if you see something you like, right click and view the code

jazzyfa30 · Answer

@FutureMathProfessor please help

anonymous · Answer

@jazzyfa30 where you are having troubles?

jazzyfa30 · Answer

I thought when when you have absolute value symbols then it is answer is positive

anonymous · Answer

No, |2x-1| have to be 5.
So 2x - 1 can be -5 or 5, because |-5| = 5 and |5| = 5.
So, 2x - 1 = -5 , x = -2 and 2x -1 = 5, x = 3

anonymous · Answer

In my first solutions in the end i've writed solutions: x = -2 and x = 5, it's incorrect, it's x = -2 and x = 3.

jazzyfa30 · Answer

wait so how did you get x=-2 from 2x-1=-5

anonymous · Answer

2x - 1 = -5
2x = -5 + 1
2x = -4
x = -2

jazzyfa30 · Answer

oh okay thank you

anonymous · Answer

you welcome :]