Question 24552
First of all, this is an "equation" rather than an "expression".
Remember, equations have equal signs while expressions do not.

On to your problem! Solve:
{{{-(1/x) - 5 = 0}}} First, add 5 to both sides of the equation.
{{{-(1/x) = 5}}} Now multiply both sides by x.
{{{-1 = 5x}}} Finally, divide both sides by 5.
{{{x = -1/5}}}

Check: Substitute -1/5 for x in the original equation.
{{{-(1/(-1/5)) - 5 = 0}}} Simplify.
{{{(-1)(-5) - 5 = 0}}}
{{{5 - 5 = 0}}}
{{{0 = 0}}}