Question

How do i solve this equation: 4/5a + 3 = 1/3a - 8

Answer 1

You have to $subtract$ by $\frac{1}{3}a$ on $EACH$ of  the $sides$ you're $working$ with!

$\frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a$

Which $gives$ us: $\frac{7}{15}a + 3 = -8$

$Now,$ that we got these $steps$ out of the way, let's $subtract$ $3$ from the sides you're working with! 

$\frac{7}{15}a + 3 - 3 \\ = -8 -3$

 $\frac{7}{15}(a) = -11$

We have gotten these  $steps$ out of the way now lets $multiply$ by $\frac{15}{7}$ on your $sides$ because, it is the $reciprocal$ of $\frac{7}{15}$

So,  $\frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)$

Cancel out: $\frac{15}{7}( \frac{7}{15} )$ because, it equals to:$1$

$\frac{15}{7}(-11) = \frac{-165}{7}$

Therefore, your $answer$ is:  $\frac{-165}{7}$ $aka$ $23\frac{4}{7}$ 

Good luck on your assignment and enjoy your day

~$MeIsKaitlyn:)$