1/x=6/5x+1
AMBIGUOUS!
If the 5x on the right is ALL in the denominator, or if it's JUST the 5 that's in the denominator, then multiply both sides by 5x
If the denominator on the right is 5x + 1, then multiply both sides be x(5x + 1), or JUST cross-multiply
Either way, solve for x thereafter.