3/(2x-1/(x-5))=1, multiply top and bottom of LHS by x-5:
3(x-5)/(2x(x-5)-1)=1,
3x-15=2x(x-5)-1=2x2-10x-1, add 15-3x to each side:
0=2x2-13x+14.
To solve the quadratic use the formula: x=(13±√(132-8×14))/4,
x=(13±√(169-112))/4=(13±√57)/4. x=5.1375 or 1.3625 (approx).