Raymond B. answered 03/08/21
Math, microeconomics or criminal justice
F) 2/(x-3) = 4
4x-12 = 2
x=7/2
G) 7/(2x+5) = 2/3
21 = 4x + 10
x = 21/4
H) 7/(x-9) = 5
7 = 5x-45
x = 52/5
But it all depends on where you put the likely implicit parentheses
IF you just followed PEMDAS order of operations then
F) 2/x - 3 = 4
2-3x = 4x
7x =2
x= 2/7
G) 7/2x +5 = 2/3
21 +30x = 4x
26x =-21
x =-21/26
H) 7/x -9 = 5
7-9x = 5x
14x =7
x = 1/2
G) has another possible interpretation given that the fraction 7/2 might be the coefficient of x
then (7/2)x + 5 = 2/3
7x/2 = 2/3 -15/3 = -13/3
x = (2/7)(-13/3) = -26/21
Odds are you want the first 3 solutions for F,G and H