How do you solve 5/2-x/5=9/10?

1 Answer
Jun 22, 2018

x=8

Explanation:

Simplify the left side first:

5/2 - x/5 = ((5 xx 5) - (2 xx x))/10 = (25-2x)/10

So now we get:

(25-2x)/10 = 9/10

Multiply by 10 both sides and we get:

(10(25-2x))/10 = (9/10)10

(cancel10(25-2x))/cancel10 = (9/cancel10)cancel10

(25-2x)=9

-2x = 9-25#

-2x = -16

Multiply by -1 both sides to remove the negative sign

2x = 16

x = 16/2

x=8

Check the answer:

5/2 - 8/5 = (25-16)/10 = 9/10 ---> Correct!