Answer
x = 5/3
Work Step by Step
Solve : 1/x + 2/(x-5) = 0
$(x - 5 + 2x) \div (x(x-5)) $ = 0
x - 5 + 2x = 0;
3x = 5
x = 5/3
Check :
LHS = 1/x + 2/(x-5) = 3/5 + 2/(5/3 - 5) = 3/ 5 - 6/10 = 3/5 - 3/5 = 0
RHS = 0
LHS = RHS, Hence Verified