What's (2/5) x-8=9 - (3/5)

41

Step-by-step explanation:

(2/5) x - 8 = 9 - (3/5)

First you need to multiply everything with inversely proportional number of 2/5 to get x alone.

(2/5) x - 8 = 9 - (3/5) / * 5/2

x - (8 * 5/2) = 9 * 5/2 - (3/5 * 5/2)

x - 40/2 = 45/2 - 15/10

Now you switch 40/2 on the other side, but when you do this, you need to change it's sing (minus to plus). We do that so x can be alone on one side.

x = 45/2 - 15/10 + 40/2, contracted, it look like this:

x = 22,5 - 1,5 + 20

and x = 41