I know the answer is x<5, but I need to know how to solve it! Please solve the problem by showing the steps!
4 Answers

I assume that the equation is:
20  (4/5)x > 16
Bring 20 to the right:
(4/5)x > 16  20
(4/5)x > 4
Multiply both sides by 5/4. Make sure to switch the inequality symbol:
(4/5)x(5/4) < 4(5/4)
Hence, x < 5.
I hope this helps!

Firstly, you want to get x by itself. To do that, simply subtract 20 from both sides. You should get 4/5x>4. Next, it's time to make the two sides positive. To do that, you need to multiply both sides by 1 AND switch the > to a < (think of it this way... 5<4 but 5>4). You should get 4/5x<4. Then, you need to get x completely alone. To do that, you can divide both sides by 4/5, or alternatively you can multiply both sides by 5 and then divide by four. Using the second option, you first get 4x<20, and finally you divide by 4 to get x<5.

204/5x>16
1) first subtract 20 from both sides.
204/5x>16
20 20

4/5x>4
2) 4/5 is being multiplied by x so you do the opposite. you divide.
4/5x>4
 
4/5 4/5
3)when you divide 4 by 4/5 you get 5
4)since the number you are dividing by is negative you flip the sign.
Answer: x<5

Multiply by 5 to lose the fraction
100  4x > 80
 4x >  20
Divide by a negative flip the sign
x < 20/ 4
x < 5