The correct value of ''n'' in this equation will be -5/8.
To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.
But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.
[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]
[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]
[tex]\large \sf x= \dfrac{1-6}{8}[/tex]
[tex]\large \sf x= \dfrac{-5}{8}[/tex]
[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]
So we can conclude that the value of ''x'' in this equation will be -5/8.