# How do you solve 2/3(a-3)=1/3?

Jun 13, 2015

$a = \frac{7}{2}$

#### Explanation:

First we need to "delete" $\frac{2}{3}$ by multiplying both side by the inverse of $\frac{2}{3} \implies {\left(\frac{2}{3}\right)}^{-} 1 = \frac{3}{2}$

$\implies a - 3 = \frac{1}{2}$

and then add $3$ both side

$\implies a = \frac{1}{2} + 3 = \frac{7}{2}$

Finally we have

$a = \frac{7}{2}$