Absolute Value (with variables)

Find the value(s) of $x$:

  1. $|x|=3 \rightarrow \mathbf{x=3,-3}$
  2. $|x|=6 \rightarrow \mathbf{x=6,-6}$
  3. $|x|=-7 \rightarrow \mathbf{\text{no solution}}$
  4. $|x|=0  \rightarrow \mathbf{x=0}$
  5. $|x|=17 \rightarrow \mathbf{x=17,-17}$
  6. $|x|=-21 \rightarrow \mathbf{\text{no solution}}$
  7. $-|x|=3\rightarrow \mathbf{\text{no solution}}$
  8. $-|x|=-9\rightarrow \mathbf{x=9,-9}$
  9. $-|x|=0 \rightarrow \mathbf{x=0}$
  10. $|x|=-12 \rightarrow \mathbf{\text{no solution}}$
  11. $|x|=13\rightarrow \mathbf{x=13,-13}$
  12. $|x|=4-9 \rightarrow \mathbf{\text{no solution}}$