When did Training programs for nurses, infection control measures like handwashing were
important

in 1860 Florence Nightingale wrote a book cqlled Notes on Nursing which highlighted the importance of hand washing and other means of infection control which did not yet exist as a standard practice.

x = -6.5

explanation:

with this editor, you should be careful to put what you mean. 5/(2x - 7) = 3/(4x +14) is the way i will interpret it. cross multiply

5*(4x + 14) = 3*(2x - 7)       remove the brackets

20x + 70 = 6x - 21             add 21 to both sides

20x+ 70+21= 6x                 combine

20x + 91 = 6x                     subtract 20x

20x-20x+91=6x-20x           combine

91 = - 14x

x = - 91/14

x = - 6.5