Verified Answer :

\(\frac{2}{3x}=10\)
Multiply both sides by 3x:
\(2=30x\)
Divide both sides by 30:
\(\frac{2}{30}=x\)
Simplify:
\(x=\frac{1}{15}\)
Check:
\(\frac{2}{3\times\frac{1}{15}}=10\)
\(\frac{2}{\frac{3}{15}}=10\)
\(\frac{15\times2}{3}=10\)
\(\frac{30}{3}=10\)
\(10=10\)

Solutions 

Simplify 2/3x to 2x/3

2x/3=10

2) Multiply both sides by 3

2x=10×3

3) 
Simplify 10×3 to 30

2x=30

4) 
Divide both sides by 2

x=30 ÷ 2

5) 
Simplify 30 ÷ 2 to 15

x=15

Answer = 15  

Also can be written as 1/15