Question

2|x-5|+3=5 show work

Answer 1

|2x+3|=3x+7

Answer 2

|5x-1|>=2

Answer 3

Can we start with one at a time?

Answer 4

Yeah start with the first one

Answer 5

OK so we have \[2|x-5|+3=5\]
First step is subtracting 2 on both sides
\[2|x-5|=2\]
Now we can divide by 2 on both sides so we are just left with this
\[|x-5|=1\]
Since this is absolute value there is a special way we have to set up the equation to solve for x. We have to include both the positive and the negative so it will look something like this
\[x-5=1 ~~or~-x+5=-1\]
Do you think you can solve from here?

Answer 6

x=6 or x=4

Answer 7

Yes

Answer 8

Can I get help with the rest of them?