Answer :
[tex]\lvert x\rvert=\frac{7}{8}[/tex]
For an absolute value as given you have:
[tex]\begin{gathered} \lvert a\rvert=b \\ \\ a=b \\ a=-b \end{gathered}[/tex]Then, the values of x where |x| = ⅞ are:
[tex]x=\frac{7}{8},-\frac{7}{8}[/tex]