Let f(x) = 2-3x/5-2x. For what value of a is f(a) = 3?

set the equation equal to 3

(2 - 3a) / (5 - 2a) = 3

multiply both sides

2 - 3a = 15 - 6a

add 6a to both sides

2 + 3a = 15

subtract 2 from both sides

3a = 13

divide by 3

a = 13/3