Question

How to solve 3/4(4/5x-2)=11/4?

Answer 1

`(3)/(4)((4)/(5)x-2)=(11)/(4)\ \ \ \ \ \ |multiply\ both\ sides\ by\ 4\\\\3((4)/(5)x-2)=11\\\\(12)/(5)x-6=11\ \ \ \ \ |add\ 6\ to\ both\ sides\\\\(12)/(5)x=17\ \ \ \ \ |multiply\ both\ sides\ by\ (5)/(12)\\\\x=(85)/(12)\\\\\boxed{x=7(1)/(12)}`

Answer 2

`(3)/(4) * ((4)/(5x)-2) = (11)/(4) \ we \ bring \ to \ the \ same \ denominator \ in \ (...) \\ (3)/(4) * (4-10x)/(5x) = (11)/(4) <=> (12-30x)/(20x)= (11)/(4) <=> \\ 4(12-30x)=220x <=> 48 -120x =220x <=> \\ -120x-220x= -48 <=> -340x = - 48 |-1 <=> \\ x= (48)/(340)= 0,14`