The value of x obtained on solving the equation is:
x=39
We are given a equation in terms of the variable x as follows:
[tex]\dfrac{2}{3}x-5=21[/tex]
Now on adding 5 on both the sides of the equation we have:
[tex]\dfrac{2}{3}x-5+5=21+5\\\\\dfrac{2}{3}x=26[/tex]
On multiplying both side by 3/2 we get:
[tex]x=26\times \dfrac{3}{2}\\\\x=13\times 3\\\\x=39[/tex]
Hence, the answer is: x = 39
