x=18
Step-by-step explanation:
We have been given the rational equation
![\frac{2}{3}x=12](/tpl/images/0237/4663/53acb.png)
Multiply both sides by 3 in order to eliminate 3 from the denominator
![\frac{2x}{3}\times3=12\times3\\\\2x=36](/tpl/images/0237/4663/7d9b9.png)
Now, we need to eliminate 2 from the left hand side to isolate x. Since, 2 is in multiplication with x hence to eliminate 2 we can divide both sides by 2
![\frac{2x}{2}=\frac{36}{2}\\\\x=18](/tpl/images/0237/4663/52e14.png)
Hence, the value of x is 18.
Second option is correct.