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Verified Answer :

1/5x - 2/3(15) = 30
1/5x - 10 =30
       +10    +10
1/5x = 40
get rid of the fraction 
multiply everything by 5
5(1/5x = 40)5
x = 200

\(\frac{1}5x-\frac{2}3y=30\)

Plug in 15 for y.

\(\frac{1}5x-\frac{2}3(15)=30\)

2/3 of 15 is 10.

\(\frac{1}5x-10=30\)

Add 10 to each side.

\(\frac{1}5x=40\)

Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...×5)

\(\boxed{x=200}\)