How do you solve for A in 2A/3 = 8 + 4A?

Jun 11, 2015

 color(red)(A = -18/11

Explanation:

$2 \frac{A}{3} = 8 + 4 A$

$2 \frac{A}{3}$ is a mixed fraction
$= \frac{6 + A}{3}$

Now the expression can be written as :
$\frac{6 + A}{3} = 8 + 4 A$
$6 + A = 3 \times \left(8 + 4 A\right)$

$6 + A = 24 + 12 A$
$- 18 = 11 A$
 color(red)(A = -18/11