- #1

RChristenk

- 57

- 7

- Homework Statement
- Solve ##\left| x+3 \right|= \left| 2x+1\right|##

- Relevant Equations
- Absolute values

Both sides are in absolute values, i.e. positive, so the solution is straightforward: ##\left| x+3 \right|= \left| 2x+1\right| \Rightarrow x+3=2x+1 \Rightarrow x=2##.

But the solution presents another case: ##x+3 = -(2x+1)##. How is this possible if both sides are in absolute values, i.e. positive?

I understand ##\left| x\right|= \pm c##, but when there are absolute values on both sides, I don't understand why you can remove the absolute values by setting one side to negative. Thanks for the help.

But the solution presents another case: ##x+3 = -(2x+1)##. How is this possible if both sides are in absolute values, i.e. positive?

I understand ##\left| x\right|= \pm c##, but when there are absolute values on both sides, I don't understand why you can remove the absolute values by setting one side to negative. Thanks for the help.