Question 344787
{{{x/(5x-25) - 2 = 1/(x-5)}}}
{{{(x/5)/(x-5)-1/(x-5)=2}}}
{{{1/(x-5)(x/5-1)=2}}}
{{{x/5-1=2(x-5)}}}
Multiply both sides by 5.
{{{x-5=10(x-5)}}}
{{{x-5=10x-50}}}
{{{-9x=-45}}}
{{{x=5}}}
However, {{{x=5}}} is not allowed as a solution since it leads to division by zero.
No solutions.